20(x+5)=10(x+5)

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Solution for 20(x+5)=10(x+5) equation: 


Simplifying
20(x + 5) = 10(x + 5)

Reorder the terms:
20(5 + x) = 10(x + 5)
(5 * 20 + x * 20) = 10(x + 5)
(100 + 20x) = 10(x + 5)

Reorder the terms:
100 + 20x = 10(5 + x)
100 + 20x = (5 * 10 + x * 10)
100 + 20x = (50 + 10x)

Solving
100 + 20x = 50 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
100 + 20x + -10x = 50 + 10x + -10x

Combine like terms: 20x + -10x = 10x
100 + 10x = 50 + 10x + -10x

Combine like terms: 10x + -10x = 0
100 + 10x = 50 + 0
100 + 10x = 50

Add '-100' to each side of the equation.
100 + -100 + 10x = 50 + -100

Combine like terms: 100 + -100 = 0
0 + 10x = 50 + -100
10x = 50 + -100

Combine like terms: 50 + -100 = -50
10x = -50

Divide each side by '10'.
x = -5

Simplifying
x = -5

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