x+2(x+3)=x+12

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Solution for x+2(x+3)=x+12 equation:


Simplifying
x + 2(x + 3) = x + 12

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

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

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

Reorder the terms:
6 + 3x = 12 + x

Solving
6 + 3x = 12 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 3x + -1x = 12 + x + -1x

Combine like terms: 3x + -1x = 2x
6 + 2x = 12 + x + -1x

Combine like terms: x + -1x = 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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