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

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


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

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

Combine like terms: 5 + 6 = 11
11 + -7x = -8(x + 1) + -6

Reorder the terms:
11 + -7x = -8(1 + x) + -6
11 + -7x = (1 * -8 + x * -8) + -6
11 + -7x = (-8 + -8x) + -6

Reorder the terms:
11 + -7x = -8 + -6 + -8x

Combine like terms: -8 + -6 = -14
11 + -7x = -14 + -8x

Solving
11 + -7x = -14 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
11 + -7x + 8x = -14 + -8x + 8x

Combine like terms: -7x + 8x = 1x
11 + 1x = -14 + -8x + 8x

Combine like terms: -8x + 8x = 0
11 + 1x = -14 + 0
11 + 1x = -14

Add '-11' to each side of the equation.
11 + -11 + 1x = -14 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = -14 + -11
1x = -14 + -11

Combine like terms: -14 + -11 = -25
1x = -25

Divide each side by '1'.
x = -25

Simplifying
x = -25

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