0.5-0.3(10-5x)=-0.6(x-8)

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Solution for 0.5-0.3(10-5x)=-0.6(x-8) equation: 


Simplifying
0.5 + -0.3(10 + -5x) = -0.6(x + -8)
0.5 + (10 * -0.3 + -5x * -0.3) = -0.6(x + -8)
0.5 + (-3 + 1.5x) = -0.6(x + -8)

Combine like terms: 0.5 + -3 = -2.5
-2.5 + 1.5x = -0.6(x + -8)

Reorder the terms:
-2.5 + 1.5x = -0.6(-8 + x)
-2.5 + 1.5x = (-8 * -0.6 + x * -0.6)
-2.5 + 1.5x = (4.8 + -0.6x)

Solving
-2.5 + 1.5x = 4.8 + -0.6x

Solving for variable 'x'.

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

Add '0.6x' to each side of the equation.
-2.5 + 1.5x + 0.6x = 4.8 + -0.6x + 0.6x

Combine like terms: 1.5x + 0.6x = 2.1x
-2.5 + 2.1x = 4.8 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-2.5 + 2.1x = 4.8 + 0.0
-2.5 + 2.1x = 4.8

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 2.1x = 4.8 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 2.1x = 4.8 + 2.5
2.1x = 4.8 + 2.5

Combine like terms: 4.8 + 2.5 = 7.3
2.1x = 7.3

Divide each side by '2.1'.
x = 3.476190476

Simplifying
x = 3.476190476

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