3x-8=-2x-22

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Solution for 3x-8=-2x-22 equation:


Simplifying
3x + -8 = -2x + -22

Reorder the terms:
-8 + 3x = -2x + -22

Reorder the terms:
-8 + 3x = -22 + -2x

Solving
-8 + 3x = -22 + -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.
-8 + 3x + 2x = -22 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-8 + 5x = -22 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 5x = -22 + 0
-8 + 5x = -22

Add '8' to each side of the equation.
-8 + 8 + 5x = -22 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -22 + 8
5x = -22 + 8

Combine like terms: -22 + 8 = -14
5x = -14

Divide each side by '5'.
x = -2.8

Simplifying
x = -2.8

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