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

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


Simplifying
-0.3(x + -8) + x = 0.5(3 + -1x)

Reorder the terms:
-0.3(-8 + x) + x = 0.5(3 + -1x)
(-8 * -0.3 + x * -0.3) + x = 0.5(3 + -1x)
(2.4 + -0.3x) + x = 0.5(3 + -1x)

Combine like terms: -0.3x + x = 0.7x
2.4 + 0.7x = 0.5(3 + -1x)
2.4 + 0.7x = (3 * 0.5 + -1x * 0.5)
2.4 + 0.7x = (1.5 + -0.5x)

Solving
2.4 + 0.7x = 1.5 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
2.4 + 0.7x + 0.5x = 1.5 + -0.5x + 0.5x

Combine like terms: 0.7x + 0.5x = 1.2x
2.4 + 1.2x = 1.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
2.4 + 1.2x = 1.5 + 0.0
2.4 + 1.2x = 1.5

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 1.2x = 1.5 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 1.2x = 1.5 + -2.4
1.2x = 1.5 + -2.4

Combine like terms: 1.5 + -2.4 = -0.9
1.2x = -0.9

Divide each side by '1.2'.
x = -0.75

Simplifying
x = -0.75

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