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

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Solution for 0.16(x-18)+0.5(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 = -1.88
-1.88 + 0.16x + 0.5x = x + -8

Combine like terms: 0.16x + 0.5x = 0.66x
-1.88 + 0.66x = x + -8

Reorder the terms:
-1.88 + 0.66x = -8 + x

Solving
-1.88 + 0.66x = -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.
-1.88 + 0.66x + -1x = -8 + x + -1x

Combine like terms: 0.66x + -1x = -0.34x
-1.88 + -0.34x = -8 + x + -1x

Combine like terms: x + -1x = 0
-1.88 + -0.34x = -8 + 0
-1.88 + -0.34x = -8

Add '1.88' to each side of the equation.
-1.88 + 1.88 + -0.34x = -8 + 1.88

Combine like terms: -1.88 + 1.88 = 0.00
0.00 + -0.34x = -8 + 1.88
-0.34x = -8 + 1.88

Combine like terms: -8 + 1.88 = -6.12
-0.34x = -6.12

Divide each side by '-0.34'.
x = 18

Simplifying
x = 18

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