-7(x-2)+8=-8(x-1)

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Solution for -7(x-2)+8=-8(x-1) equation:


Simplifying
-7(x + -2) + 8 = -8(x + -1)

Reorder the terms:
-7(-2 + x) + 8 = -8(x + -1)
(-2 * -7 + x * -7) + 8 = -8(x + -1)
(14 + -7x) + 8 = -8(x + -1)

Reorder the terms:
14 + 8 + -7x = -8(x + -1)

Combine like terms: 14 + 8 = 22
22 + -7x = -8(x + -1)

Reorder the terms:
22 + -7x = -8(-1 + x)
22 + -7x = (-1 * -8 + x * -8)
22 + -7x = (8 + -8x)

Solving
22 + -7x = 8 + -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.
22 + -7x + 8x = 8 + -8x + 8x

Combine like terms: -7x + 8x = 1x
22 + 1x = 8 + -8x + 8x

Combine like terms: -8x + 8x = 0
22 + 1x = 8 + 0
22 + 1x = 8

Add '-22' to each side of the equation.
22 + -22 + 1x = 8 + -22

Combine like terms: 22 + -22 = 0
0 + 1x = 8 + -22
1x = 8 + -22

Combine like terms: 8 + -22 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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