3x-12+3x-4=2x-9+3x-6

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Solution for 3x-12+3x-4=2x-9+3x-6 equation:


Simplifying
3x + -12 + 3x + -4 = 2x + -9 + 3x + -6

Reorder the terms:
-12 + -4 + 3x + 3x = 2x + -9 + 3x + -6

Combine like terms: -12 + -4 = -16
-16 + 3x + 3x = 2x + -9 + 3x + -6

Combine like terms: 3x + 3x = 6x
-16 + 6x = 2x + -9 + 3x + -6

Reorder the terms:
-16 + 6x = -9 + -6 + 2x + 3x

Combine like terms: -9 + -6 = -15
-16 + 6x = -15 + 2x + 3x

Combine like terms: 2x + 3x = 5x
-16 + 6x = -15 + 5x

Solving
-16 + 6x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-16 + 6x + -5x = -15 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-16 + 1x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + 1x = -15 + 0
-16 + 1x = -15

Add '16' to each side of the equation.
-16 + 16 + 1x = -15 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = -15 + 16
1x = -15 + 16

Combine like terms: -15 + 16 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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