0.5(x+0.666666666)=3(x-1)

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Solution for 0.5(x+0.666666666)=3(x-1) equation: 


Simplifying
0.5(x + 0.666666666) = 3(x + -1)

Reorder the terms:
0.5(0.666666666 + x) = 3(x + -1)
(0.666666666 * 0.5 + x * 0.5) = 3(x + -1)
(0.333333333 + 0.5x) = 3(x + -1)

Reorder the terms:
0.333333333 + 0.5x = 3(-1 + x)
0.333333333 + 0.5x = (-1 * 3 + x * 3)
0.333333333 + 0.5x = (-3 + 3x)

Solving
0.333333333 + 0.5x = -3 + 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.
0.333333333 + 0.5x + -3x = -3 + 3x + -3x

Combine like terms: 0.5x + -3x = -2.5x
0.333333333 + -2.5x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
0.333333333 + -2.5x = -3 + 0
0.333333333 + -2.5x = -3

Add '-0.333333333' to each side of the equation.
0.333333333 + -0.333333333 + -2.5x = -3 + -0.333333333

Combine like terms: 0.333333333 + -0.333333333 = 0.000000000
0.000000000 + -2.5x = -3 + -0.333333333
-2.5x = -3 + -0.333333333

Combine like terms: -3 + -0.333333333 = -3.333333333
-2.5x = -3.333333333

Divide each side by '-2.5'.
x = 1.333333333

Simplifying
x = 1.333333333

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