10(x+2)=5(x+8)

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Solution for 10(x+2)=5(x+8) equation: 


Simplifying
10(x + 2) = 5(x + 8)

Reorder the terms:
10(2 + x) = 5(x + 8)
(2 * 10 + x * 10) = 5(x + 8)
(20 + 10x) = 5(x + 8)

Reorder the terms:
20 + 10x = 5(8 + x)
20 + 10x = (8 * 5 + x * 5)
20 + 10x = (40 + 5x)

Solving
20 + 10x = 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.
20 + 10x + -5x = 40 + 5x + -5x

Combine like terms: 10x + -5x = 5x
20 + 5x = 40 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + 5x = 40 + 0
20 + 5x = 40

Add '-20' to each side of the equation.
20 + -20 + 5x = 40 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = 40 + -20
5x = 40 + -20

Combine like terms: 40 + -20 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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