7x-2=12x-22

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Solution for 7x-2=12x-22 equation:


Simplifying
7x + -2 = 12x + -22

Reorder the terms:
-2 + 7x = 12x + -22

Reorder the terms:
-2 + 7x = -22 + 12x

Solving
-2 + 7x = -22 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-2 + 7x + -12x = -22 + 12x + -12x

Combine like terms: 7x + -12x = -5x
-2 + -5x = -22 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -5x = -22 + 0
-2 + -5x = -22

Add '2' to each side of the equation.
-2 + 2 + -5x = -22 + 2

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

Combine like terms: -22 + 2 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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