10(x+6)=5(x+20)

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Solution for 10(x+6)=5(x+20) equation:


Simplifying
10(x + 6) = 5(x + 20)

Reorder the terms:
10(6 + x) = 5(x + 20)
(6 * 10 + x * 10) = 5(x + 20)
(60 + 10x) = 5(x + 20)

Reorder the terms:
60 + 10x = 5(20 + x)
60 + 10x = (20 * 5 + x * 5)
60 + 10x = (100 + 5x)

Solving
60 + 10x = 100 + 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.
60 + 10x + -5x = 100 + 5x + -5x

Combine like terms: 10x + -5x = 5x
60 + 5x = 100 + 5x + -5x

Combine like terms: 5x + -5x = 0
60 + 5x = 100 + 0
60 + 5x = 100

Add '-60' to each side of the equation.
60 + -60 + 5x = 100 + -60

Combine like terms: 60 + -60 = 0
0 + 5x = 100 + -60
5x = 100 + -60

Combine like terms: 100 + -60 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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