-8(x-7)-3(8-x)=12

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Solution for -8(x-7)-3(8-x)=12 equation:


Simplifying
-8(x + -7) + -3(8 + -1x) = 12

Reorder the terms:
-8(-7 + x) + -3(8 + -1x) = 12
(-7 * -8 + x * -8) + -3(8 + -1x) = 12
(56 + -8x) + -3(8 + -1x) = 12
56 + -8x + (8 * -3 + -1x * -3) = 12
56 + -8x + (-24 + 3x) = 12

Reorder the terms:
56 + -24 + -8x + 3x = 12

Combine like terms: 56 + -24 = 32
32 + -8x + 3x = 12

Combine like terms: -8x + 3x = -5x
32 + -5x = 12

Solving
32 + -5x = 12

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + -5x = 12 + -32

Combine like terms: 32 + -32 = 0
0 + -5x = 12 + -32
-5x = 12 + -32

Combine like terms: 12 + -32 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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