-8(x-6)-3(2-x)=7

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Solution for -8(x-6)-3(2-x)=7 equation: 


Simplifying
-8(x + -6) + -3(2 + -1x) = 7

Reorder the terms:
-8(-6 + x) + -3(2 + -1x) = 7
(-6 * -8 + x * -8) + -3(2 + -1x) = 7
(48 + -8x) + -3(2 + -1x) = 7
48 + -8x + (2 * -3 + -1x * -3) = 7
48 + -8x + (-6 + 3x) = 7

Reorder the terms:
48 + -6 + -8x + 3x = 7

Combine like terms: 48 + -6 = 42
42 + -8x + 3x = 7

Combine like terms: -8x + 3x = -5x
42 + -5x = 7

Solving
42 + -5x = 7

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + -5x = 7 + -42

Combine like terms: 42 + -42 = 0
0 + -5x = 7 + -42
-5x = 7 + -42

Combine like terms: 7 + -42 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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