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Solve all of them step by step (12 points!)

(a) . 2x + 4(x-1) = 2 + 4x

(b) 25 -x = 15 - (3x +10)

(c) 4x = 2x + 2x +5 (x - x)

Answer :

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${teks-lihat-gambar} Pritam14
a) 2x + 4(x-1) = 2 + 4x
Multiply everything in the parenthesis by 4.

2x + 4x - 4 = 2 + 4x

Combine like terms.

6x - 4 = 2 + 4x

Subtract 4x from both sides.

2x - 4 = 2

Add 4 to both sides.

2x = 6

Divide 2 on both sides.

x = 3

b) 25 - x = 15 - (3x + 10)
Multiply everything in the parenthesis by -1.

25 - x = 15 - 3x - 10

Combine like terms.

25 - x = 5 - 3x

Add 3x to both sides.

25 + 2x = 5

Subtract 25 from both sides.

2x = -20

Divide 2 on both sides.

x = -10

c) 4x = 2x + 2x + 5(x - x)

Multiply everything in the parenthesis by 5.

4x = 2x + 2x + 5x - 5x

Combine like terms.

4x = 4x

This means that there is an infinite amount of solutions.

Hope this helps!

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