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

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


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

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

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

Combine like terms: 2x + 2x = 4x
6 + 4x = 5x + -6

Reorder the terms:
6 + 4x = -6 + 5x

Solving
6 + 4x = -6 + 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 + 4x + -5x = -6 + 5x + -5x

Combine like terms: 4x + -5x = -1x
6 + -1x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -1x = -6 + 0
6 + -1x = -6

Add '-6' to each side of the equation.
6 + -6 + -1x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -6 + -6
-1x = -6 + -6

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

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

Simplifying
x = 12

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