7-3x=2x+22

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Solution for 7-3x=2x+22 equation:


Simplifying
7 + -3x = 2x + 22

Reorder the terms:
7 + -3x = 22 + 2x

Solving
7 + -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.
7 + -3x + -2x = 22 + 2x + -2x

Combine like terms: -3x + -2x = -5x
7 + -5x = 22 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -5x = 22 + 0
7 + -5x = 22

Add '-7' to each side of the equation.
7 + -7 + -5x = 22 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 22 + -7
-5x = 22 + -7

Combine like terms: 22 + -7 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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