-0.3(x-6)+x=0.5(3-x)

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Solution for -0.3(x-6)+x=0.5(3-x) equation: 


Simplifying
-0.3(x + -6) + x = 0.5(3 + -1x)

Reorder the terms:
-0.3(-6 + x) + x = 0.5(3 + -1x)
(-6 * -0.3 + x * -0.3) + x = 0.5(3 + -1x)
(1.8 + -0.3x) + x = 0.5(3 + -1x)

Combine like terms: -0.3x + x = 0.7x
1.8 + 0.7x = 0.5(3 + -1x)
1.8 + 0.7x = (3 * 0.5 + -1x * 0.5)
1.8 + 0.7x = (1.5 + -0.5x)

Solving
1.8 + 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.
1.8 + 0.7x + 0.5x = 1.5 + -0.5x + 0.5x

Combine like terms: 0.7x + 0.5x = 1.2x
1.8 + 1.2x = 1.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
1.8 + 1.2x = 1.5 + 0.0
1.8 + 1.2x = 1.5

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 1.2x = 1.5 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 1.2x = 1.5 + -1.8
1.2x = 1.5 + -1.8

Combine like terms: 1.5 + -1.8 = -0.3
1.2x = -0.3

Divide each side by '1.2'.
x = -0.25

Simplifying
x = -0.25

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