5+11x=5(3x+20)+x

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Solution for 5+11x=5(3x+20)+x equation:


Simplifying
5 + 11x = 5(3x + 20) + x

Reorder the terms:
5 + 11x = 5(20 + 3x) + x
5 + 11x = (20 * 5 + 3x * 5) + x
5 + 11x = (100 + 15x) + x

Combine like terms: 15x + x = 16x
5 + 11x = 100 + 16x

Solving
5 + 11x = 100 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
5 + 11x + -16x = 100 + 16x + -16x

Combine like terms: 11x + -16x = -5x
5 + -5x = 100 + 16x + -16x

Combine like terms: 16x + -16x = 0
5 + -5x = 100 + 0
5 + -5x = 100

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

Combine like terms: 5 + -5 = 0
0 + -5x = 100 + -5
-5x = 100 + -5

Combine like terms: 100 + -5 = 95
-5x = 95

Divide each side by '-5'.
x = -19

Simplifying
x = -19

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