4x-3x+7=12x-6-9

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Solution for 4x-3x+7=12x-6-9 equation:


Simplifying
4x + -3x + 7 = 12x + -6 + -9

Reorder the terms:
7 + 4x + -3x = 12x + -6 + -9

Combine like terms: 4x + -3x = 1x
7 + 1x = 12x + -6 + -9

Reorder the terms:
7 + 1x = -6 + -9 + 12x

Combine like terms: -6 + -9 = -15
7 + 1x = -15 + 12x

Solving
7 + 1x = -15 + 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.
7 + 1x + -12x = -15 + 12x + -12x

Combine like terms: 1x + -12x = -11x
7 + -11x = -15 + 12x + -12x

Combine like terms: 12x + -12x = 0
7 + -11x = -15 + 0
7 + -11x = -15

Add '-7' to each side of the equation.
7 + -7 + -11x = -15 + -7

Combine like terms: 7 + -7 = 0
0 + -11x = -15 + -7
-11x = -15 + -7

Combine like terms: -15 + -7 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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