-5x+8-7(x-1)=-(4x-6)-7x+7

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Solution for -5x+8-7(x-1)=-(4x-6)-7x+7 equation:


Simplifying
-5x + 8 + -7(x + -1) = -1(4x + -6) + -7x + 7

Reorder the terms:
-5x + 8 + -7(-1 + x) = -1(4x + -6) + -7x + 7
-5x + 8 + (-1 * -7 + x * -7) = -1(4x + -6) + -7x + 7
-5x + 8 + (7 + -7x) = -1(4x + -6) + -7x + 7

Reorder the terms:
8 + 7 + -5x + -7x = -1(4x + -6) + -7x + 7

Combine like terms: 8 + 7 = 15
15 + -5x + -7x = -1(4x + -6) + -7x + 7

Combine like terms: -5x + -7x = -12x
15 + -12x = -1(4x + -6) + -7x + 7

Reorder the terms:
15 + -12x = -1(-6 + 4x) + -7x + 7
15 + -12x = (-6 * -1 + 4x * -1) + -7x + 7
15 + -12x = (6 + -4x) + -7x + 7

Reorder the terms:
15 + -12x = 6 + 7 + -4x + -7x

Combine like terms: 6 + 7 = 13
15 + -12x = 13 + -4x + -7x

Combine like terms: -4x + -7x = -11x
15 + -12x = 13 + -11x

Solving
15 + -12x = 13 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
15 + -12x + 11x = 13 + -11x + 11x

Combine like terms: -12x + 11x = -1x
15 + -1x = 13 + -11x + 11x

Combine like terms: -11x + 11x = 0
15 + -1x = 13 + 0
15 + -1x = 13

Add '-15' to each side of the equation.
15 + -15 + -1x = 13 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 13 + -15
-1x = 13 + -15

Combine like terms: 13 + -15 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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