-.16(x-12)+.5(x+2)=x-1

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Solution for -.16(x-12)+.5(x+2)=x-1 equation: 


Simplifying
-0.16(x + -12) + 0.5(x + 2) = x + -1

Reorder the terms:
-0.16(-12 + x) + 0.5(x + 2) = x + -1
(-12 * -0.16 + x * -0.16) + 0.5(x + 2) = x + -1
(1.92 + -0.16x) + 0.5(x + 2) = x + -1

Reorder the terms:
1.92 + -0.16x + 0.5(2 + x) = x + -1
1.92 + -0.16x + (2 * 0.5 + x * 0.5) = x + -1
1.92 + -0.16x + (1 + 0.5x) = x + -1

Reorder the terms:
1.92 + 1 + -0.16x + 0.5x = x + -1

Combine like terms: 1.92 + 1 = 2.92
2.92 + -0.16x + 0.5x = x + -1

Combine like terms: -0.16x + 0.5x = 0.34x
2.92 + 0.34x = x + -1

Reorder the terms:
2.92 + 0.34x = -1 + x

Solving
2.92 + 0.34x = -1 + 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.
2.92 + 0.34x + -1x = -1 + x + -1x

Combine like terms: 0.34x + -1x = -0.66x
2.92 + -0.66x = -1 + x + -1x

Combine like terms: x + -1x = 0
2.92 + -0.66x = -1 + 0
2.92 + -0.66x = -1

Add '-2.92' to each side of the equation.
2.92 + -2.92 + -0.66x = -1 + -2.92

Combine like terms: 2.92 + -2.92 = 0.00
0.00 + -0.66x = -1 + -2.92
-0.66x = -1 + -2.92

Combine like terms: -1 + -2.92 = -3.92
-0.66x = -3.92

Divide each side by '-0.66'.
x = 5.939393939

Simplifying
x = 5.939393939

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