-.16(x-18)+.5(x+2)=x+8

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Solution for -.16(x-18)+.5(x+2)=x+8 equation:


Simplifying
-0.16(x + -18) + 0.5(x + 2) = x + 8

Reorder the terms:
-0.16(-18 + x) + 0.5(x + 2) = x + 8
(-18 * -0.16 + x * -0.16) + 0.5(x + 2) = x + 8
(2.88 + -0.16x) + 0.5(x + 2) = x + 8

Reorder the terms:
2.88 + -0.16x + 0.5(2 + x) = x + 8
2.88 + -0.16x + (2 * 0.5 + x * 0.5) = x + 8
2.88 + -0.16x + (1 + 0.5x) = x + 8

Reorder the terms:
2.88 + 1 + -0.16x + 0.5x = x + 8

Combine like terms: 2.88 + 1 = 3.88
3.88 + -0.16x + 0.5x = x + 8

Combine like terms: -0.16x + 0.5x = 0.34x
3.88 + 0.34x = x + 8

Reorder the terms:
3.88 + 0.34x = 8 + x

Solving
3.88 + 0.34x = 8 + 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.
3.88 + 0.34x + -1x = 8 + x + -1x

Combine like terms: 0.34x + -1x = -0.66x
3.88 + -0.66x = 8 + x + -1x

Combine like terms: x + -1x = 0
3.88 + -0.66x = 8 + 0
3.88 + -0.66x = 8

Add '-3.88' to each side of the equation.
3.88 + -3.88 + -0.66x = 8 + -3.88

Combine like terms: 3.88 + -3.88 = 0.00
0.00 + -0.66x = 8 + -3.88
-0.66x = 8 + -3.88

Combine like terms: 8 + -3.88 = 4.12
-0.66x = 4.12

Divide each side by '-0.66'.
x = -6.242424242

Simplifying
x = -6.242424242

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