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

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


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

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

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

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

Reorder the terms:
-8 + 7x = -2(5 + -5x) + -7x
-8 + 7x = (5 * -2 + -5x * -2) + -7x
-8 + 7x = (-10 + 10x) + -7x

Combine like terms: 10x + -7x = 3x
-8 + 7x = -10 + 3x

Solving
-8 + 7x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 7x + -3x = -10 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-8 + 4x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 4x = -10 + 0
-8 + 4x = -10

Add '8' to each side of the equation.
-8 + 8 + 4x = -10 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = -10 + 8
4x = -10 + 8

Combine like terms: -10 + 8 = -2
4x = -2

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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