5x-12=-3x+6

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


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

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

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

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

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-12 + 5x + 3x = 6 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-12 + 8x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 8x = 6 + 0
-12 + 8x = 6

Add '12' to each side of the equation.
-12 + 12 + 8x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 6 + 12
8x = 6 + 12

Combine like terms: 6 + 12 = 18
8x = 18

Divide each side by '8'.
x = 2.25

Simplifying
x = 2.25

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