x+16=5x-40

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Solution for x+16=5x-40 equation:


Simplifying
x + 16 = 5x + -40

Reorder the terms:
16 + x = 5x + -40

Reorder the terms:
16 + x = -40 + 5x

Solving
16 + x = -40 + 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 + x + -5x = -40 + 5x + -5x

Combine like terms: x + -5x = -4x
16 + -4x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -4x = -40 + 0
16 + -4x = -40

Add '-16' to each side of the equation.
16 + -16 + -4x = -40 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = -40 + -16
-4x = -40 + -16

Combine like terms: -40 + -16 = -56
-4x = -56

Divide each side by '-4'.
x = 14

Simplifying
x = 14

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