Answer :
Answer:
(1)The value of x is -9 .
Option (B) is correct .
(2)The value of x is 13 .
Option (A) is correct .
(3)The value of the x is 11 .
Option (D) is correct .
(4) The value of the x is -15 .
Option (A) is correct .
(5)The value of the x is -11 .
Option (C) is correct .
Step-by-step explanation:
First Part
As given
4x = -36
[tex]x = \frac{-36}{4}[/tex]
x = -9
Therefore the value of x is -9 .
Option (B) is correct .
Second Part
As given
5x - 15 = 50
5x = 50 + 15gg
5x = 65
[tex]x = \frac{65}{5}[/tex]
x = 13
Therefore the value of x is 13 .
Option (A) is correct .
As given
4(x+2)-17=35
4x + 8 - 17 = 35
4x = 35 + 17 - 8
4x = 44
[tex]x = \frac{44}{4}[/tex]
x = 11
Therefore the value of the x is 11 .
Option (D) is correct .
Fourth Part
As given
6x+12=4x-18
6x-4x = -12-18
2x = -30
[tex]x = \frac{-30}{2}[/tex]
x = -15
Therefore the value of the x is -15 .
Option (A) is correct .
Fifth Part
As given
[tex]\frac{1}{2}(4x-10)+5=x-11[/tex]
Simplify the above
4x-10+5×2 = 2x-22
4x-10+10= 2x-22
4x-2x = -22
2x=-22
[tex]x = \frac{-22}{2}[/tex]
x = -11
Therefore the value of the x is -11 .
Option (C) is correct .
1. The value of x is [tex]\boxed{x = - 9}.[/tex] Option (B) is correct.
2. The value of x is [tex]\boxed{x = 13}[/tex]. Option (A) is correct.
3. The value of x is [tex]\boxed{x = 11}[/tex]. Option (D) is correct.
4. The value of x is [tex]\boxed{x = - 15}[/tex]. Option (A) is correct.
5. The value of x is [tex]\boxed{x = - 11}[/tex]. Option (C) is correct.
Further explanation:
Always use the PEDMAS rule to solve the grouping of multiplication, addition, subtraction and division.
Here, P is parenthesis, E is exponents, M is multiplication, D is division, A is addition and S is subtraction.
Explanation:
Part (1)
The given equation is [tex]4x = - 36[/tex]
Solve the above expression to obtain the value of x.
[tex]\begin{aligned}4x &= - 36\\\frac{{4x}}{4}&= \frac{{ - 36}}{4}\\x&= - 9\\\end{aligned}[/tex]
The value of [tex]x[/tex] is [tex]\boxed{x = - 9}.[/tex]
Part (2)
The equation is [tex]5x - 15 = 50.[/tex]
Solve the above expression to obtain the value of x.
[tex]\begin{aligned}5x - 15 &= 50\\5x &= 65\\x&= \frac{{65}}{5}\\x&= 13\\\end{aligned}[/tex]
The value of [tex]x[/tex] is [tex]\boxed{x = 13}.[/tex]
Part (3)
The equation is [tex]4\left( {x + 2} \right) - 17 = 35.[/tex]
Solve the above expression to obtain the value of x.
[tex]\begin{aligned}4\left( {x + 2} \right) - 17 &= 35\\4x + 8 &= 35 + 17 \\4x &= 52- 8\\4x &= 44\\x &= 11\\\end{aligned}[/tex]
The value of [tex]x[/tex] is [tex]\boxed{x = 11}.[/tex]
Part (4)
The equation is [tex]6x + 12 = 4x - 18.[/tex]
Solve the above expression to obtain the value of x.
[tex]\begin{aligned}6x + 12 &= 4x - 18\\6x - 4x &= - 18 - 12\\2x &= - 30\\x &= \frac{{ - 30}}{2}\\x &=- 15\\\end{aligned}[/tex]
The value of [tex]x[/tex] is [tex]\boxed{x = - 15}.[/tex]
Part (5)
The equation is [tex]\dfrac{1}{2}\left( {4x - 10} \right) + 5 = x - 11[/tex]
Solve the above expression to obtain the value of x.
[tex]\begin{aligned}\frac{1}{2}\left( {4x - 10} \right) + 5 &= x - 11\\\frac{1}{2}\left( {4x - 10} \right) &= x - 11 - 5\\\left( {4x - 10} \right) &= 2\left( {x - 16} \right)\\4x - 10 &= 2x - 32\\4x - 2x &= - 32 + 10\\2x &= - 22\\x&= - 11\\\end{aligned}[/tex]
The value of [tex]x[/tex] is [tex]\boxed{x = - 11}.[/tex]
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Number system
Keywords: factor, factorization, 4x = -36, 5x-15=50, 4(x+2)-17=35, equation, value of x, division, multiplication, subtraction, solve the equation, solution, linear equation, line