4(x+2)=2(x+6)

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Solution for 4(x+2)=2(x+6) equation:


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

Reorder the terms:
4(2 + x) = 2(x + 6)
(2 * 4 + x * 4) = 2(x + 6)
(8 + 4x) = 2(x + 6)

Reorder the terms:
8 + 4x = 2(6 + x)
8 + 4x = (6 * 2 + x * 2)
8 + 4x = (12 + 2x)

Solving
8 + 4x = 12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 4x + -2x = 12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
8 + 2x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 2x = 12 + 0
8 + 2x = 12

Add '-8' to each side of the equation.
8 + -8 + 2x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 12 + -8
2x = 12 + -8

Combine like terms: 12 + -8 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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