2(x+0.5)-8=0.5(4-2x)

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Solution for 2(x+0.5)-8=0.5(4-2x) equation: 


Simplifying
2(x + 0.5) + -8 = 0.5(4 + -2x)

Reorder the terms:
2(0.5 + x) + -8 = 0.5(4 + -2x)
(0.5 * 2 + x * 2) + -8 = 0.5(4 + -2x)
(1 + 2x) + -8 = 0.5(4 + -2x)

Reorder the terms:
1 + -8 + 2x = 0.5(4 + -2x)

Combine like terms: 1 + -8 = -7
-7 + 2x = 0.5(4 + -2x)
-7 + 2x = (4 * 0.5 + -2x * 0.5)
-7 + 2x = (2 + -1x)

Solving
-7 + 2x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-7 + 2x + x = 2 + -1x + x

Combine like terms: 2x + x = 3x
-7 + 3x = 2 + -1x + x

Combine like terms: -1x + x = 0
-7 + 3x = 2 + 0
-7 + 3x = 2

Add '7' to each side of the equation.
-7 + 7 + 3x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 2 + 7
3x = 2 + 7

Combine like terms: 2 + 7 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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