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

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


Simplifying
x + -1(3x + -2) = 5x + -2(3x + 6)

Reorder the terms:
x + -1(-2 + 3x) = 5x + -2(3x + 6)
x + (-2 * -1 + 3x * -1) = 5x + -2(3x + 6)
x + (2 + -3x) = 5x + -2(3x + 6)

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

Combine like terms: x + -3x = -2x
2 + -2x = 5x + -2(3x + 6)

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

Reorder the terms:
2 + -2x = -12 + 5x + -6x

Combine like terms: 5x + -6x = -1x
2 + -2x = -12 + -1x

Solving
2 + -2x = -12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + -2x + x = -12 + -1x + x

Combine like terms: -2x + x = -1x
2 + -1x = -12 + -1x + x

Combine like terms: -1x + x = 0
2 + -1x = -12 + 0
2 + -1x = -12

Add '-2' to each side of the equation.
2 + -2 + -1x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -12 + -2
-1x = -12 + -2

Combine like terms: -12 + -2 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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