3x+16=5x-28

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Solution for 3x+16=5x-28 equation:


Simplifying
3x + 16 = 5x + -28

Reorder the terms:
16 + 3x = 5x + -28

Reorder the terms:
16 + 3x = -28 + 5x

Solving
16 + 3x = -28 + 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 = -28 + 5x + -5x

Combine like terms: 3x + -5x = -2x
16 + -2x = -28 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -2x = -28 + 0
16 + -2x = -28

Add '-16' to each side of the equation.
16 + -16 + -2x = -28 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -28 + -16
-2x = -28 + -16

Combine like terms: -28 + -16 = -44
-2x = -44

Divide each side by '-2'.
x = 22

Simplifying
x = 22

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