5x-22=8x-46

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Solution for 5x-22=8x-46 equation:


Simplifying
5x + -22 = 8x + -46

Reorder the terms:
-22 + 5x = 8x + -46

Reorder the terms:
-22 + 5x = -46 + 8x

Solving
-22 + 5x = -46 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-22 + 5x + -8x = -46 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-22 + -3x = -46 + 8x + -8x

Combine like terms: 8x + -8x = 0
-22 + -3x = -46 + 0
-22 + -3x = -46

Add '22' to each side of the equation.
-22 + 22 + -3x = -46 + 22

Combine like terms: -22 + 22 = 0
0 + -3x = -46 + 22
-3x = -46 + 22

Combine like terms: -46 + 22 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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