-4(x-8)+4=-3(x-7)

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Solution for -4(x-8)+4=-3(x-7) equation: 


Simplifying
-4(x + -8) + 4 = -3(x + -7)

Reorder the terms:
-4(-8 + x) + 4 = -3(x + -7)
(-8 * -4 + x * -4) + 4 = -3(x + -7)
(32 + -4x) + 4 = -3(x + -7)

Reorder the terms:
32 + 4 + -4x = -3(x + -7)

Combine like terms: 32 + 4 = 36
36 + -4x = -3(x + -7)

Reorder the terms:
36 + -4x = -3(-7 + x)
36 + -4x = (-7 * -3 + x * -3)
36 + -4x = (21 + -3x)

Solving
36 + -4x = 21 + -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.
36 + -4x + 3x = 21 + -3x + 3x

Combine like terms: -4x + 3x = -1x
36 + -1x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
36 + -1x = 21 + 0
36 + -1x = 21

Add '-36' to each side of the equation.
36 + -36 + -1x = 21 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = 21 + -36
-1x = 21 + -36

Combine like terms: 21 + -36 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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