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

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


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

Combine like terms: -5x + 9x = 4x
12 + 4x = -2(-3x + 2)

Reorder the terms:
12 + 4x = -2(2 + -3x)
12 + 4x = (2 * -2 + -3x * -2)
12 + 4x = (-4 + 6x)

Solving
12 + 4x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 4x + -6x = -4 + 6x + -6x

Combine like terms: 4x + -6x = -2x
12 + -2x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -2x = -4 + 0
12 + -2x = -4

Add '-12' to each side of the equation.
12 + -12 + -2x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -4 + -12
-2x = -4 + -12

Combine like terms: -4 + -12 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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