x+3=6(2x+6)

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


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

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

Reorder the terms:
3 + x = 6(6 + 2x)
3 + x = (6 * 6 + 2x * 6)
3 + x = (36 + 12x)

Solving
3 + x = 36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
3 + x + -12x = 36 + 12x + -12x

Combine like terms: x + -12x = -11x
3 + -11x = 36 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + -11x = 36 + 0
3 + -11x = 36

Add '-3' to each side of the equation.
3 + -3 + -11x = 36 + -3

Combine like terms: 3 + -3 = 0
0 + -11x = 36 + -3
-11x = 36 + -3

Combine like terms: 36 + -3 = 33
-11x = 33

Divide each side by '-11'.
x = -3

Simplifying
x = -3

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