-.666(x-12)+.5(x+2)=x+11

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Solution for -.666(x-12)+.5(x+2)=x+11 equation:


Simplifying
-0.666(x + -12) + 0.5(x + 2) = x + 11

Reorder the terms:
-0.666(-12 + x) + 0.5(x + 2) = x + 11
(-12 * -0.666 + x * -0.666) + 0.5(x + 2) = x + 11
(7.992 + -0.666x) + 0.5(x + 2) = x + 11

Reorder the terms:
7.992 + -0.666x + 0.5(2 + x) = x + 11
7.992 + -0.666x + (2 * 0.5 + x * 0.5) = x + 11
7.992 + -0.666x + (1 + 0.5x) = x + 11

Reorder the terms:
7.992 + 1 + -0.666x + 0.5x = x + 11

Combine like terms: 7.992 + 1 = 8.992
8.992 + -0.666x + 0.5x = x + 11

Combine like terms: -0.666x + 0.5x = -0.166x
8.992 + -0.166x = x + 11

Reorder the terms:
8.992 + -0.166x = 11 + x

Solving
8.992 + -0.166x = 11 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8.992 + -0.166x + -1x = 11 + x + -1x

Combine like terms: -0.166x + -1x = -1.166x
8.992 + -1.166x = 11 + x + -1x

Combine like terms: x + -1x = 0
8.992 + -1.166x = 11 + 0
8.992 + -1.166x = 11

Add '-8.992' to each side of the equation.
8.992 + -8.992 + -1.166x = 11 + -8.992

Combine like terms: 8.992 + -8.992 = 0.000
0.000 + -1.166x = 11 + -8.992
-1.166x = 11 + -8.992

Combine like terms: 11 + -8.992 = 2.008
-1.166x = 2.008

Divide each side by '-1.166'.
x = -1.72212693

Simplifying
x = -1.72212693

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