-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 = -10x
2 + -10x = -22 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -10x = -22 + 0
2 + -10x = -22

Add '-2' to each side of the equation.
2 + -2 + -10x = -22 + -2

Combine like terms: 2 + -2 = 0
0 + -10x = -22 + -2
-10x = -22 + -2

Combine like terms: -22 + -2 = -24
-10x = -24

Divide each side by '-10'.
x = 2.4

Simplifying
x = 2.4

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