.333(x+1)=.5(x-2)

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Solution for .333(x+1)=.5(x-2) equation: 


Simplifying
0.333(x + 1) = 0.5(x + -2)

Reorder the terms:
0.333(1 + x) = 0.5(x + -2)
(1 * 0.333 + x * 0.333) = 0.5(x + -2)
(0.333 + 0.333x) = 0.5(x + -2)

Reorder the terms:
0.333 + 0.333x = 0.5(-2 + x)
0.333 + 0.333x = (-2 * 0.5 + x * 0.5)
0.333 + 0.333x = (-1 + 0.5x)

Solving
0.333 + 0.333x = -1 + 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.
0.333 + 0.333x + -0.5x = -1 + 0.5x + -0.5x

Combine like terms: 0.333x + -0.5x = -0.167x
0.333 + -0.167x = -1 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
0.333 + -0.167x = -1 + 0.0
0.333 + -0.167x = -1

Add '-0.333' to each side of the equation.
0.333 + -0.333 + -0.167x = -1 + -0.333

Combine like terms: 0.333 + -0.333 = 0.000
0.000 + -0.167x = -1 + -0.333
-0.167x = -1 + -0.333

Combine like terms: -1 + -0.333 = -1.333
-0.167x = -1.333

Divide each side by '-0.167'.
x = 7.982035928

Simplifying
x = 7.982035928

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