4(x+8)=2(6+x)

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Solution for 4(x+8)=2(6+x) equation: 


Simplifying
4(x + 8) = 2(6 + x)

Reorder the terms:
4(8 + x) = 2(6 + x)
(8 * 4 + x * 4) = 2(6 + x)
(32 + 4x) = 2(6 + x)
32 + 4x = (6 * 2 + x * 2)
32 + 4x = (12 + 2x)

Solving
32 + 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.
32 + 4x + -2x = 12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
32 + 2x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
32 + 2x = 12 + 0
32 + 2x = 12

Add '-32' to each side of the equation.
32 + -32 + 2x = 12 + -32

Combine like terms: 32 + -32 = 0
0 + 2x = 12 + -32
2x = 12 + -32

Combine like terms: 12 + -32 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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