5x-1=8x-22

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Solution for 5x-1=8x-22 equation:


Simplifying
5x + -1 = 8x + -22

Reorder the terms:
-1 + 5x = 8x + -22

Reorder the terms:
-1 + 5x = -22 + 8x

Solving
-1 + 5x = -22 + 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.
-1 + 5x + -8x = -22 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-1 + -3x = -22 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -3x = -22 + 0
-1 + -3x = -22

Add '1' to each side of the equation.
-1 + 1 + -3x = -22 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = -22 + 1
-3x = -22 + 1

Combine like terms: -22 + 1 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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