4x-14=5x-22

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Solution for 4x-14=5x-22 equation:


Simplifying
4x + -14 = 5x + -22

Reorder the terms:
-14 + 4x = 5x + -22

Reorder the terms:
-14 + 4x = -22 + 5x

Solving
-14 + 4x = -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.
-14 + 4x + -5x = -22 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-14 + -1x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + -1x = -22 + 0
-14 + -1x = -22

Add '14' to each side of the equation.
-14 + 14 + -1x = -22 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = -22 + 14
-1x = -22 + 14

Combine like terms: -22 + 14 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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