.333(x+7)-.5(x+1)=-6

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Solution for .333(x+7)-.5(x+1)=-6 equation: 


Simplifying
0.333(x + 7) + -0.5(x + 1) = -6

Reorder the terms:
0.333(7 + x) + -0.5(x + 1) = -6
(7 * 0.333 + x * 0.333) + -0.5(x + 1) = -6
(2.331 + 0.333x) + -0.5(x + 1) = -6

Reorder the terms:
2.331 + 0.333x + -0.5(1 + x) = -6
2.331 + 0.333x + (1 * -0.5 + x * -0.5) = -6
2.331 + 0.333x + (-0.5 + -0.5x) = -6

Reorder the terms:
2.331 + -0.5 + 0.333x + -0.5x = -6

Combine like terms: 2.331 + -0.5 = 1.831
1.831 + 0.333x + -0.5x = -6

Combine like terms: 0.333x + -0.5x = -0.167x
1.831 + -0.167x = -6

Solving
1.831 + -0.167x = -6

Solving for variable 'x'.

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

Add '-1.831' to each side of the equation.
1.831 + -1.831 + -0.167x = -6 + -1.831

Combine like terms: 1.831 + -1.831 = 0.000
0.000 + -0.167x = -6 + -1.831
-0.167x = -6 + -1.831

Combine like terms: -6 + -1.831 = -7.831
-0.167x = -7.831

Divide each side by '-0.167'.
x = 46.89221557

Simplifying
x = 46.89221557

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