2(x+10)=x+6(x+2)

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Solution for 2(x+10)=x+6(x+2) equation: 


Simplifying
2(x + 10) = x + 6(x + 2)

Reorder the terms:
2(10 + x) = x + 6(x + 2)
(10 * 2 + x * 2) = x + 6(x + 2)
(20 + 2x) = x + 6(x + 2)

Reorder the terms:
20 + 2x = x + 6(2 + x)
20 + 2x = x + (2 * 6 + x * 6)
20 + 2x = x + (12 + 6x)

Reorder the terms:
20 + 2x = 12 + x + 6x

Combine like terms: x + 6x = 7x
20 + 2x = 12 + 7x

Solving
20 + 2x = 12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
20 + 2x + -7x = 12 + 7x + -7x

Combine like terms: 2x + -7x = -5x
20 + -5x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + -5x = 12 + 0
20 + -5x = 12

Add '-20' to each side of the equation.
20 + -20 + -5x = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = 12 + -20
-5x = 12 + -20

Combine like terms: 12 + -20 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

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