-3x+20=4x-22

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Solution for -3x+20=4x-22 equation:


Simplifying
-3x + 20 = 4x + -22

Reorder the terms:
20 + -3x = 4x + -22

Reorder the terms:
20 + -3x = -22 + 4x

Solving
20 + -3x = -22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
20 + -3x + -4x = -22 + 4x + -4x

Combine like terms: -3x + -4x = -7x
20 + -7x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -7x = -22 + 0
20 + -7x = -22

Add '-20' to each side of the equation.
20 + -20 + -7x = -22 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -22 + -20
-7x = -22 + -20

Combine like terms: -22 + -20 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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