.5(x-1)=.33(x+1)

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Solution for .5(x-1)=.33(x+1) equation: 


Simplifying
0.5(x + -1) = 0.33(x + 1)

Reorder the terms:
0.5(-1 + x) = 0.33(x + 1)
(-1 * 0.5 + x * 0.5) = 0.33(x + 1)
(-0.5 + 0.5x) = 0.33(x + 1)

Reorder the terms:
-0.5 + 0.5x = 0.33(1 + x)
-0.5 + 0.5x = (1 * 0.33 + x * 0.33)
-0.5 + 0.5x = (0.33 + 0.33x)

Solving
-0.5 + 0.5x = 0.33 + 0.33x

Solving for variable 'x'.

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

Add '-0.33x' to each side of the equation.
-0.5 + 0.5x + -0.33x = 0.33 + 0.33x + -0.33x

Combine like terms: 0.5x + -0.33x = 0.17x
-0.5 + 0.17x = 0.33 + 0.33x + -0.33x

Combine like terms: 0.33x + -0.33x = 0.00
-0.5 + 0.17x = 0.33 + 0.00
-0.5 + 0.17x = 0.33

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.17x = 0.33 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.17x = 0.33 + 0.5
0.17x = 0.33 + 0.5

Combine like terms: 0.33 + 0.5 = 0.83
0.17x = 0.83

Divide each side by '0.17'.
x = 4.882352941

Simplifying
x = 4.882352941

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