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

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


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

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

Reorder the terms:
-1 + 0.5x = 0.333(2 + x)
-1 + 0.5x = (2 * 0.333 + x * 0.333)
-1 + 0.5x = (0.666 + 0.333x)

Solving
-1 + 0.5x = 0.666 + 0.333x

Solving for variable 'x'.

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

Add '-0.333x' to each side of the equation.
-1 + 0.5x + -0.333x = 0.666 + 0.333x + -0.333x

Combine like terms: 0.5x + -0.333x = 0.167x
-1 + 0.167x = 0.666 + 0.333x + -0.333x

Combine like terms: 0.333x + -0.333x = 0.000
-1 + 0.167x = 0.666 + 0.000
-1 + 0.167x = 0.666

Add '1' to each side of the equation.
-1 + 1 + 0.167x = 0.666 + 1

Combine like terms: -1 + 1 = 0
0 + 0.167x = 0.666 + 1
0.167x = 0.666 + 1

Combine like terms: 0.666 + 1 = 1.666
0.167x = 1.666

Divide each side by '0.167'.
x = 9.976047904

Simplifying
x = 9.976047904

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