-0.3(x-5)+x=0.5(9-x)

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Solution for -0.3(x-5)+x=0.5(9-x) equation: 


Simplifying
-0.3(x + -5) + x = 0.5(9 + -1x)

Reorder the terms:
-0.3(-5 + x) + x = 0.5(9 + -1x)
(-5 * -0.3 + x * -0.3) + x = 0.5(9 + -1x)
(1.5 + -0.3x) + x = 0.5(9 + -1x)

Combine like terms: -0.3x + x = 0.7x
1.5 + 0.7x = 0.5(9 + -1x)
1.5 + 0.7x = (9 * 0.5 + -1x * 0.5)
1.5 + 0.7x = (4.5 + -0.5x)

Solving
1.5 + 0.7x = 4.5 + -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.
1.5 + 0.7x + 0.5x = 4.5 + -0.5x + 0.5x

Combine like terms: 0.7x + 0.5x = 1.2x
1.5 + 1.2x = 4.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
1.5 + 1.2x = 4.5 + 0.0
1.5 + 1.2x = 4.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 1.2x = 4.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1.2x = 4.5 + -1.5
1.2x = 4.5 + -1.5

Combine like terms: 4.5 + -1.5 = 3
1.2x = 3

Divide each side by '1.2'.
x = 2.5

Simplifying
x = 2.5

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