5x-16=3x-22

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Solution for 5x-16=3x-22 equation:


Simplifying
5x + -16 = 3x + -22

Reorder the terms:
-16 + 5x = 3x + -22

Reorder the terms:
-16 + 5x = -22 + 3x

Solving
-16 + 5x = -22 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-16 + 5x + -3x = -22 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-16 + 2x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 2x = -22 + 0
-16 + 2x = -22

Add '16' to each side of the equation.
-16 + 16 + 2x = -22 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -22 + 16
2x = -22 + 16

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

Divide each side by '2'.
x = -3

Simplifying
x = -3

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