6x-3+3x-6=5x-12+3x+5

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Solution for 6x-3+3x-6=5x-12+3x+5 equation:


Simplifying
6x + -3 + 3x + -6 = 5x + -12 + 3x + 5

Reorder the terms:
-3 + -6 + 6x + 3x = 5x + -12 + 3x + 5

Combine like terms: -3 + -6 = -9
-9 + 6x + 3x = 5x + -12 + 3x + 5

Combine like terms: 6x + 3x = 9x
-9 + 9x = 5x + -12 + 3x + 5

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

Combine like terms: -12 + 5 = -7
-9 + 9x = -7 + 5x + 3x

Combine like terms: 5x + 3x = 8x
-9 + 9x = -7 + 8x

Solving
-9 + 9x = -7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-9 + 9x + -8x = -7 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-9 + 1x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-9 + 1x = -7 + 0
-9 + 1x = -7

Add '9' to each side of the equation.
-9 + 9 + 1x = -7 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -7 + 9
1x = -7 + 9

Combine like terms: -7 + 9 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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