0.5(6+4x)=x+2(x+4)

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Solution for 0.5(6+4x)=x+2(x+4) equation: 


Simplifying
0.5(6 + 4x) = x + 2(x + 4)
(6 * 0.5 + 4x * 0.5) = x + 2(x + 4)
(3 + 2x) = x + 2(x + 4)

Reorder the terms:
3 + 2x = x + 2(4 + x)
3 + 2x = x + (4 * 2 + x * 2)
3 + 2x = x + (8 + 2x)

Reorder the terms:
3 + 2x = 8 + x + 2x

Combine like terms: x + 2x = 3x
3 + 2x = 8 + 3x

Solving
3 + 2x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + 2x + -3x = 8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
3 + -1x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -1x = 8 + 0
3 + -1x = 8

Add '-3' to each side of the equation.
3 + -3 + -1x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 8 + -3
-1x = 8 + -3

Combine like terms: 8 + -3 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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