3x+15=2x-22

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Solution for 3x+15=2x-22 equation:


Simplifying
3x + 15 = 2x + -22

Reorder the terms:
15 + 3x = 2x + -22

Reorder the terms:
15 + 3x = -22 + 2x

Solving
15 + 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.
15 + 3x + -2x = -22 + 2x + -2x

Combine like terms: 3x + -2x = 1x
15 + 1x = -22 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 1x = -22 + 0
15 + 1x = -22

Add '-15' to each side of the equation.
15 + -15 + 1x = -22 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = -22 + -15
1x = -22 + -15

Combine like terms: -22 + -15 = -37
1x = -37

Divide each side by '1'.
x = -37

Simplifying
x = -37

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