-0.3(x-8)+x=0.5(6-x)

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Solution for -0.3(x-8)+x=0.5(6-x) equation: 


Simplifying
-0.3(x + -8) + x = 0.5(6 + -1x)

Reorder the terms:
-0.3(-8 + x) + x = 0.5(6 + -1x)
(-8 * -0.3 + x * -0.3) + x = 0.5(6 + -1x)
(2.4 + -0.3x) + x = 0.5(6 + -1x)

Combine like terms: -0.3x + x = 0.7x
2.4 + 0.7x = 0.5(6 + -1x)
2.4 + 0.7x = (6 * 0.5 + -1x * 0.5)
2.4 + 0.7x = (3 + -0.5x)

Solving
2.4 + 0.7x = 3 + -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 = 3 + -0.5x + 0.5x

Combine like terms: 0.7x + 0.5x = 1.2x
2.4 + 1.2x = 3 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
2.4 + 1.2x = 3 + 0.0
2.4 + 1.2x = 3

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 1.2x = 3 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 1.2x = 3 + -2.4
1.2x = 3 + -2.4

Combine like terms: 3 + -2.4 = 0.6
1.2x = 0.6

Divide each side by '1.2'.
x = 0.5

Simplifying
x = 0.5

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