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

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Solution for 2(x+6)=3(x-1)+2x equation:


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

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

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

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

Solving
12 + 2x = -3 + 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.
12 + 2x + -5x = -3 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
12 + -3x = -3 + 0
12 + -3x = -3

Add '-12' to each side of the equation.
12 + -12 + -3x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -3 + -12
-3x = -3 + -12

Combine like terms: -3 + -12 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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