5x-9=(3-x)12+2x

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Solution for 5x-9=(3-x)12+2x equation:


Simplifying
5x + -9 = (3 + -1x) * 12 + 2x

Reorder the terms:
-9 + 5x = (3 + -1x) * 12 + 2x

Reorder the terms for easier multiplication:
-9 + 5x = 12(3 + -1x) + 2x
-9 + 5x = (3 * 12 + -1x * 12) + 2x
-9 + 5x = (36 + -12x) + 2x

Combine like terms: -12x + 2x = -10x
-9 + 5x = 36 + -10x

Solving
-9 + 5x = 36 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-9 + 5x + 10x = 36 + -10x + 10x

Combine like terms: 5x + 10x = 15x
-9 + 15x = 36 + -10x + 10x

Combine like terms: -10x + 10x = 0
-9 + 15x = 36 + 0
-9 + 15x = 36

Add '9' to each side of the equation.
-9 + 9 + 15x = 36 + 9

Combine like terms: -9 + 9 = 0
0 + 15x = 36 + 9
15x = 36 + 9

Combine like terms: 36 + 9 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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