5x+16=2x-5

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Solution for 5x+16=2x-5 equation:


Simplifying
5x + 16 = 2x + -5

Reorder the terms:
16 + 5x = 2x + -5

Reorder the terms:
16 + 5x = -5 + 2x

Solving
16 + 5x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + 5x + -2x = -5 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
16 + 3x = -5 + 0
16 + 3x = -5

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

Combine like terms: 16 + -16 = 0
0 + 3x = -5 + -16
3x = -5 + -16

Combine like terms: -5 + -16 = -21
3x = -21

Divide each side by '3'.
x = -7

Simplifying
x = -7

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