7-2(x-4)=5(1-2x)

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Solution for 7-2(x-4)=5(1-2x) equation: 


Simplifying
7 + -2(x + -4) = 5(1 + -2x)

Reorder the terms:
7 + -2(-4 + x) = 5(1 + -2x)
7 + (-4 * -2 + x * -2) = 5(1 + -2x)
7 + (8 + -2x) = 5(1 + -2x)

Combine like terms: 7 + 8 = 15
15 + -2x = 5(1 + -2x)
15 + -2x = (1 * 5 + -2x * 5)
15 + -2x = (5 + -10x)

Solving
15 + -2x = 5 + -10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10x' to each side of the equation.
15 + -2x + 10x = 5 + -10x + 10x

Combine like terms: -2x + 10x = 8x
15 + 8x = 5 + -10x + 10x

Combine like terms: -10x + 10x = 0
15 + 8x = 5 + 0
15 + 8x = 5

Add '-15' to each side of the equation.
15 + -15 + 8x = 5 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = 5 + -15
8x = 5 + -15

Combine like terms: 5 + -15 = -10
8x = -10

Divide each side by '8'.
x = -1.25

Simplifying
x = -1.25

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