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

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


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

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

Combine like terms: 2x + x = 3x
-6 + 3x = -3(4 + -1x) + 2x
-6 + 3x = (4 * -3 + -1x * -3) + 2x
-6 + 3x = (-12 + 3x) + 2x

Combine like terms: 3x + 2x = 5x
-6 + 3x = -12 + 5x

Solving
-6 + 3x = -12 + 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.
-6 + 3x + -5x = -12 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = -12 + 0
-6 + -2x = -12

Add '6' to each side of the equation.
-6 + 6 + -2x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -12 + 6
-2x = -12 + 6

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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