0.2x-0.5(9-2x)=-0.3(x-5)

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Solution for 0.2x-0.5(9-2x)=-0.3(x-5) equation: 


Simplifying
0.2x + -0.5(9 + -2x) = -0.3(x + -5)
0.2x + (9 * -0.5 + -2x * -0.5) = -0.3(x + -5)
0.2x + (-4.5 + 1x) = -0.3(x + -5)

Reorder the terms:
-4.5 + 0.2x + 1x = -0.3(x + -5)

Combine like terms: 0.2x + 1x = 1.2x
-4.5 + 1.2x = -0.3(x + -5)

Reorder the terms:
-4.5 + 1.2x = -0.3(-5 + x)
-4.5 + 1.2x = (-5 * -0.3 + x * -0.3)
-4.5 + 1.2x = (1.5 + -0.3x)

Solving
-4.5 + 1.2x = 1.5 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-4.5 + 1.2x + 0.3x = 1.5 + -0.3x + 0.3x

Combine like terms: 1.2x + 0.3x = 1.5x
-4.5 + 1.5x = 1.5 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-4.5 + 1.5x = 1.5 + 0.0
-4.5 + 1.5x = 1.5

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

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

Combine like terms: 1.5 + 4.5 = 6
1.5x = 6

Divide each side by '1.5'.
x = 4

Simplifying
x = 4

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