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

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


Simplifying
0 = 2(x + -6) + -1(8 + -3x)

Reorder the terms:
0 = 2(-6 + x) + -1(8 + -3x)
0 = (-6 * 2 + x * 2) + -1(8 + -3x)
0 = (-12 + 2x) + -1(8 + -3x)
0 = -12 + 2x + (8 * -1 + -3x * -1)
0 = -12 + 2x + (-8 + 3x)

Reorder the terms:
0 = -12 + -8 + 2x + 3x

Combine like terms: -12 + -8 = -20
0 = -20 + 2x + 3x

Combine like terms: 2x + 3x = 5x
0 = -20 + 5x

Solving
0 = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
0 + -5x = -20 + 5x + -5x
Remove the zero:
-5x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5x = -20 + 0
-5x = -20

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

Simplifying
x = 4

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