3x-5x-2(x-6)=8x

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Solution for 3x-5x-2(x-6)=8x equation:


Simplifying
3x + -5x + -2(x + -6) = 8x

Reorder the terms:
3x + -5x + -2(-6 + x) = 8x
3x + -5x + (-6 * -2 + x * -2) = 8x
3x + -5x + (12 + -2x) = 8x

Reorder the terms:
12 + 3x + -5x + -2x = 8x

Combine like terms: 3x + -5x = -2x
12 + -2x + -2x = 8x

Combine like terms: -2x + -2x = -4x
12 + -4x = 8x

Solving
12 + -4x = 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.
12 + -4x + -8x = 8x + -8x

Combine like terms: -4x + -8x = -12x
12 + -12x = 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -12x = 0

Add '-12' to each side of the equation.
12 + -12 + -12x = 0 + -12

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

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

Divide each side by '-12'.
x = 1

Simplifying
x = 1

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