0.333(2x-4)=-0.5(x-8)

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Solution for 0.333(2x-4)=-0.5(x-8) equation: 


Simplifying
0.333(2x + -4) = -0.5(x + -8)

Reorder the terms:
0.333(-4 + 2x) = -0.5(x + -8)
(-4 * 0.333 + 2x * 0.333) = -0.5(x + -8)
(-1.332 + 0.666x) = -0.5(x + -8)

Reorder the terms:
-1.332 + 0.666x = -0.5(-8 + x)
-1.332 + 0.666x = (-8 * -0.5 + x * -0.5)
-1.332 + 0.666x = (4 + -0.5x)

Solving
-1.332 + 0.666x = 4 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
-1.332 + 0.666x + 0.5x = 4 + -0.5x + 0.5x

Combine like terms: 0.666x + 0.5x = 1.166x
-1.332 + 1.166x = 4 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-1.332 + 1.166x = 4 + 0.0
-1.332 + 1.166x = 4

Add '1.332' to each side of the equation.
-1.332 + 1.332 + 1.166x = 4 + 1.332

Combine like terms: -1.332 + 1.332 = 0.000
0.000 + 1.166x = 4 + 1.332
1.166x = 4 + 1.332

Combine like terms: 4 + 1.332 = 5.332
1.166x = 5.332

Divide each side by '1.166'.
x = 4.572898799

Simplifying
x = 4.572898799

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