0.3x-0.9(9-5x)=-0.5(x-5)

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Solution for 0.3x-0.9(9-5x)=-0.5(x-5) equation:


Simplifying
0.3x + -0.9(9 + -5x) = -0.5(x + -5)
0.3x + (9 * -0.9 + -5x * -0.9) = -0.5(x + -5)
0.3x + (-8.1 + 4.5x) = -0.5(x + -5)

Reorder the terms:
-8.1 + 0.3x + 4.5x = -0.5(x + -5)

Combine like terms: 0.3x + 4.5x = 4.8x
-8.1 + 4.8x = -0.5(x + -5)

Reorder the terms:
-8.1 + 4.8x = -0.5(-5 + x)
-8.1 + 4.8x = (-5 * -0.5 + x * -0.5)
-8.1 + 4.8x = (2.5 + -0.5x)

Solving
-8.1 + 4.8x = 2.5 + -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.
-8.1 + 4.8x + 0.5x = 2.5 + -0.5x + 0.5x

Combine like terms: 4.8x + 0.5x = 5.3x
-8.1 + 5.3x = 2.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-8.1 + 5.3x = 2.5 + 0.0
-8.1 + 5.3x = 2.5

Add '8.1' to each side of the equation.
-8.1 + 8.1 + 5.3x = 2.5 + 8.1

Combine like terms: -8.1 + 8.1 = 0.0
0.0 + 5.3x = 2.5 + 8.1
5.3x = 2.5 + 8.1

Combine like terms: 2.5 + 8.1 = 10.6
5.3x = 10.6

Divide each side by '5.3'.
x = 2

Simplifying
x = 2

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