3x-(-2)-x=2(4x-6)+x

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Solution for 3x-(-2)-x=2(4x-6)+x equation:


Simplifying
3x + -1(-2) + -1x = 2(4x + -6) + x

Multiply -1 * -2
3x + 2 + -1x = 2(4x + -6) + x

Reorder the terms:
2 + 3x + -1x = 2(4x + -6) + x

Combine like terms: 3x + -1x = 2x
2 + 2x = 2(4x + -6) + x

Reorder the terms:
2 + 2x = 2(-6 + 4x) + x
2 + 2x = (-6 * 2 + 4x * 2) + x
2 + 2x = (-12 + 8x) + x

Combine like terms: 8x + x = 9x
2 + 2x = -12 + 9x

Solving
2 + 2x = -12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2 + 2x + -9x = -12 + 9x + -9x

Combine like terms: 2x + -9x = -7x
2 + -7x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -7x = -12 + 0
2 + -7x = -12

Add '-2' to each side of the equation.
2 + -2 + -7x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = -12 + -2
-7x = -12 + -2

Combine like terms: -12 + -2 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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