8-.5(x+3)=.20(x-1)

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Solution for 8-.5(x+3)=.20(x-1) equation: 


Simplifying
8 + -0.5(x + 3) = 0.20(x + -1)

Reorder the terms:
8 + -0.5(3 + x) = 0.20(x + -1)
8 + (3 * -0.5 + x * -0.5) = 0.20(x + -1)
8 + (-1.5 + -0.5x) = 0.20(x + -1)

Combine like terms: 8 + -1.5 = 6.5
6.5 + -0.5x = 0.20(x + -1)

Reorder the terms:
6.5 + -0.5x = 0.20(-1 + x)
6.5 + -0.5x = (-1 * 0.20 + x * 0.20)
6.5 + -0.5x = (-0.2 + 0.20x)

Solving
6.5 + -0.5x = -0.2 + 0.20x

Solving for variable 'x'.

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

Add '-0.20x' to each side of the equation.
6.5 + -0.5x + -0.20x = -0.2 + 0.20x + -0.20x

Combine like terms: -0.5x + -0.20x = -0.7x
6.5 + -0.7x = -0.2 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
6.5 + -0.7x = -0.2 + 0.00
6.5 + -0.7x = -0.2

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -0.7x = -0.2 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -0.7x = -0.2 + -6.5
-0.7x = -0.2 + -6.5

Combine like terms: -0.2 + -6.5 = -6.7
-0.7x = -6.7

Divide each side by '-0.7'.
x = 9.571428571

Simplifying
x = 9.571428571

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