6(x+3)-6=15-3x-3x+9x

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Solution for 6(x+3)-6=15-3x-3x+9x equation:


Simplifying
6(x + 3) + -6 = 15 + -3x + -3x + 9x

Reorder the terms:
6(3 + x) + -6 = 15 + -3x + -3x + 9x
(3 * 6 + x * 6) + -6 = 15 + -3x + -3x + 9x
(18 + 6x) + -6 = 15 + -3x + -3x + 9x

Reorder the terms:
18 + -6 + 6x = 15 + -3x + -3x + 9x

Combine like terms: 18 + -6 = 12
12 + 6x = 15 + -3x + -3x + 9x

Combine like terms: -3x + -3x = -6x
12 + 6x = 15 + -6x + 9x

Combine like terms: -6x + 9x = 3x
12 + 6x = 15 + 3x

Solving
12 + 6x = 15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 6x + -3x = 15 + 3x + -3x

Combine like terms: 6x + -3x = 3x
12 + 3x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 3x = 15 + 0
12 + 3x = 15

Add '-12' to each side of the equation.
12 + -12 + 3x = 15 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 15 + -12
3x = 15 + -12

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

Divide each side by '3'.
x = 1

Simplifying
x = 1

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