5x-6=7x-22

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Solution for 5x-6=7x-22 equation:


Simplifying
5x + -6 = 7x + -22

Reorder the terms:
-6 + 5x = 7x + -22

Reorder the terms:
-6 + 5x = -22 + 7x

Solving
-6 + 5x = -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.
-6 + 5x + -7x = -22 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-6 + -2x = -22 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -2x = -22 + 0
-6 + -2x = -22

Add '6' to each side of the equation.
-6 + 6 + -2x = -22 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -22 + 6
-2x = -22 + 6

Combine like terms: -22 + 6 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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