3x-9=-2x+31

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Solution for 3x-9=-2x+31 equation:


Simplifying
3x + -9 = -2x + 31

Reorder the terms:
-9 + 3x = -2x + 31

Reorder the terms:
-9 + 3x = 31 + -2x

Solving
-9 + 3x = 31 + -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 + 3x + 2x = 31 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-9 + 5x = 31 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 5x = 31 + 0
-9 + 5x = 31

Add '9' to each side of the equation.
-9 + 9 + 5x = 31 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 31 + 9
5x = 31 + 9

Combine like terms: 31 + 9 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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