3x+6+2x-8=x-3x+9

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Solution for 3x+6+2x-8=x-3x+9 equation:


Simplifying
3x + 6 + 2x + -8 = x + -3x + 9

Reorder the terms:
6 + -8 + 3x + 2x = x + -3x + 9

Combine like terms: 6 + -8 = -2
-2 + 3x + 2x = x + -3x + 9

Combine like terms: 3x + 2x = 5x
-2 + 5x = x + -3x + 9

Reorder the terms:
-2 + 5x = 9 + x + -3x

Combine like terms: x + -3x = -2x
-2 + 5x = 9 + -2x

Solving
-2 + 5x = 9 + -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.
-2 + 5x + 2x = 9 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-2 + 7x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + 7x = 9 + 0
-2 + 7x = 9

Add '2' to each side of the equation.
-2 + 2 + 7x = 9 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 9 + 2
7x = 9 + 2

Combine like terms: 9 + 2 = 11
7x = 11

Divide each side by '7'.
x = 1.571428571

Simplifying
x = 1.571428571

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