-3x+2=-7x-22

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


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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: -3x + 7x = 4x
2 + 4x = -22 + -7x + 7x

Combine like terms: -7x + 7x = 0
2 + 4x = -22 + 0
2 + 4x = -22

Add '-2' to each side of the equation.
2 + -2 + 4x = -22 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -22 + -2
4x = -22 + -2

Combine like terms: -22 + -2 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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