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

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


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

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

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

Solving
20 + 2x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + 2x + -6x = 12 + 6x + -6x

Combine like terms: 2x + -6x = -4x
20 + -4x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -4x = 12 + 0
20 + -4x = 12

Add '-20' to each side of the equation.
20 + -20 + -4x = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = 12 + -20
-4x = 12 + -20

Combine like terms: 12 + -20 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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