-2x-7=3x-22

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


Simplifying
-2x + -7 = 3x + -22

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

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

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

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-7 + -2x + -3x = -22 + 3x + -3x

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

Combine like terms: 3x + -3x = 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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