6x-9=-2x+15

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Solution for 6x-9=-2x+15 equation:


Simplifying
6x + -9 = -2x + 15

Reorder the terms:
-9 + 6x = -2x + 15

Reorder the terms:
-9 + 6x = 15 + -2x

Solving
-9 + 6x = 15 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-9 + 6x + 2x = 15 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-9 + 8x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 8x = 15 + 0
-9 + 8x = 15

Add '9' to each side of the equation.
-9 + 9 + 8x = 15 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = 15 + 9
8x = 15 + 9

Combine like terms: 15 + 9 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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