10(x+2)=4(x+8)

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Solution for 10(x+2)=4(x+8) equation: 


Simplifying
10(x + 2) = 4(x + 8)

Reorder the terms:
10(2 + x) = 4(x + 8)
(2 * 10 + x * 10) = 4(x + 8)
(20 + 10x) = 4(x + 8)

Reorder the terms:
20 + 10x = 4(8 + x)
20 + 10x = (8 * 4 + x * 4)
20 + 10x = (32 + 4x)

Solving
20 + 10x = 32 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
20 + 10x + -4x = 32 + 4x + -4x

Combine like terms: 10x + -4x = 6x
20 + 6x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + 6x = 32 + 0
20 + 6x = 32

Add '-20' to each side of the equation.
20 + -20 + 6x = 32 + -20

Combine like terms: 20 + -20 = 0
0 + 6x = 32 + -20
6x = 32 + -20

Combine like terms: 32 + -20 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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