.50(x+2)=.33x-6

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Solution for .50(x+2)=.33x-6 equation:


Simplifying
0.50(x + 2) = 0.33x + -6

Reorder the terms:
0.50(2 + x) = 0.33x + -6
(2 * 0.50 + x * 0.50) = 0.33x + -6
(1 + 0.50x) = 0.33x + -6

Reorder the terms:
1 + 0.50x = -6 + 0.33x

Solving
1 + 0.50x = -6 + 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.
1 + 0.50x + -0.33x = -6 + 0.33x + -0.33x

Combine like terms: 0.50x + -0.33x = 0.17x
1 + 0.17x = -6 + 0.33x + -0.33x

Combine like terms: 0.33x + -0.33x = 0.00
1 + 0.17x = -6 + 0.00
1 + 0.17x = -6

Add '-1' to each side of the equation.
1 + -1 + 0.17x = -6 + -1

Combine like terms: 1 + -1 = 0
0 + 0.17x = -6 + -1
0.17x = -6 + -1

Combine like terms: -6 + -1 = -7
0.17x = -7

Divide each side by '0.17'.
x = -41.17647059

Simplifying
x = -41.17647059

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