12-5x=10x+3(x-3)

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Solution for 12-5x=10x+3(x-3) equation: 


Simplifying
12 + -5x = 10x + 3(x + -3)

Reorder the terms:
12 + -5x = 10x + 3(-3 + x)
12 + -5x = 10x + (-3 * 3 + x * 3)
12 + -5x = 10x + (-9 + 3x)

Reorder the terms:
12 + -5x = -9 + 10x + 3x

Combine like terms: 10x + 3x = 13x
12 + -5x = -9 + 13x

Solving
12 + -5x = -9 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
12 + -5x + -13x = -9 + 13x + -13x

Combine like terms: -5x + -13x = -18x
12 + -18x = -9 + 13x + -13x

Combine like terms: 13x + -13x = 0
12 + -18x = -9 + 0
12 + -18x = -9

Add '-12' to each side of the equation.
12 + -12 + -18x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + -18x = -9 + -12
-18x = -9 + -12

Combine like terms: -9 + -12 = -21
-18x = -21

Divide each side by '-18'.
x = 1.166666667

Simplifying
x = 1.166666667

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