5(x+20)=x+16

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Solution for 5(x+20)=x+16 equation:


Simplifying
5(x + 20) = x + 16

Reorder the terms:
5(20 + x) = x + 16
(20 * 5 + x * 5) = x + 16
(100 + 5x) = x + 16

Reorder the terms:
100 + 5x = 16 + x

Solving
100 + 5x = 16 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
100 + 5x + -1x = 16 + x + -1x

Combine like terms: 5x + -1x = 4x
100 + 4x = 16 + x + -1x

Combine like terms: x + -1x = 0
100 + 4x = 16 + 0
100 + 4x = 16

Add '-100' to each side of the equation.
100 + -100 + 4x = 16 + -100

Combine like terms: 100 + -100 = 0
0 + 4x = 16 + -100
4x = 16 + -100

Combine like terms: 16 + -100 = -84
4x = -84

Divide each side by '4'.
x = -21

Simplifying
x = -21

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