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 = -9
-9 + 2x = 0.5(4 + -2x)
-9 + 2x = (4 * 0.5 + -2x * 0.5)
-9 + 2x = (2 + -1x)

Solving
-9 + 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.
-9 + 2x + x = 2 + -1x + x

Combine like terms: 2x + x = 3x
-9 + 3x = 2 + -1x + x

Combine like terms: -1x + x = 0
-9 + 3x = 2 + 0
-9 + 3x = 2

Add '9' to each side of the equation.
-9 + 9 + 3x = 2 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 2 + 9
3x = 2 + 9

Combine like terms: 2 + 9 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

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