-0.3(x-3)+x=0.5(9-x)

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Solution for -0.3(x-3)+x=0.5(9-x) equation: 


Simplifying
-0.3(x + -3) + x = 0.5(9 + -1x)

Reorder the terms:
-0.3(-3 + x) + x = 0.5(9 + -1x)
(-3 * -0.3 + x * -0.3) + x = 0.5(9 + -1x)
(0.9 + -0.3x) + x = 0.5(9 + -1x)

Combine like terms: -0.3x + x = 0.7x
0.9 + 0.7x = 0.5(9 + -1x)
0.9 + 0.7x = (9 * 0.5 + -1x * 0.5)
0.9 + 0.7x = (4.5 + -0.5x)

Solving
0.9 + 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.
0.9 + 0.7x + 0.5x = 4.5 + -0.5x + 0.5x

Combine like terms: 0.7x + 0.5x = 1.2x
0.9 + 1.2x = 4.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
0.9 + 1.2x = 4.5 + 0.0
0.9 + 1.2x = 4.5

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 1.2x = 4.5 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 1.2x = 4.5 + -0.9
1.2x = 4.5 + -0.9

Combine like terms: 4.5 + -0.9 = 3.6
1.2x = 3.6

Divide each side by '1.2'.
x = 3

Simplifying
x = 3

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