2x-1=5x-22

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Solution for 2x-1=5x-22 equation:


Simplifying
2x + -1 = 5x + -22

Reorder the terms:
-1 + 2x = 5x + -22

Reorder the terms:
-1 + 2x = -22 + 5x

Solving
-1 + 2x = -22 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1 + 2x + -5x = -22 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-1 + -3x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 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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