3x-16=5x-52

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Solution for 3x-16=5x-52 equation:


Simplifying
3x + -16 = 5x + -52

Reorder the terms:
-16 + 3x = 5x + -52

Reorder the terms:
-16 + 3x = -52 + 5x

Solving
-16 + 3x = -52 + 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.
-16 + 3x + -5x = -52 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-16 + -2x = -52 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -2x = -52 + 0
-16 + -2x = -52

Add '16' to each side of the equation.
-16 + 16 + -2x = -52 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = -52 + 16
-2x = -52 + 16

Combine like terms: -52 + 16 = -36
-2x = -36

Divide each side by '-2'.
x = 18

Simplifying
x = 18

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