-7(x-2)-4=-8(x+1)

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Solution for -7(x-2)-4=-8(x+1) equation: 


Simplifying
-7(x + -2) + -4 = -8(x + 1)

Reorder the terms:
-7(-2 + x) + -4 = -8(x + 1)
(-2 * -7 + x * -7) + -4 = -8(x + 1)
(14 + -7x) + -4 = -8(x + 1)

Reorder the terms:
14 + -4 + -7x = -8(x + 1)

Combine like terms: 14 + -4 = 10
10 + -7x = -8(x + 1)

Reorder the terms:
10 + -7x = -8(1 + x)
10 + -7x = (1 * -8 + x * -8)
10 + -7x = (-8 + -8x)

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

Combine like terms: -7x + 8x = 1x
10 + 1x = -8 + -8x + 8x

Combine like terms: -8x + 8x = 0
10 + 1x = -8 + 0
10 + 1x = -8

Add '-10' to each side of the equation.
10 + -10 + 1x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = -8 + -10
1x = -8 + -10

Combine like terms: -8 + -10 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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