0.5x-0.1(4-2x)=-0.6(x-8)

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Solution for 0.5x-0.1(4-2x)=-0.6(x-8) equation: 


Simplifying
0.5x + -0.1(4 + -2x) = -0.6(x + -8)
0.5x + (4 * -0.1 + -2x * -0.1) = -0.6(x + -8)
0.5x + (-0.4 + 0.2x) = -0.6(x + -8)

Reorder the terms:
-0.4 + 0.5x + 0.2x = -0.6(x + -8)

Combine like terms: 0.5x + 0.2x = 0.7x
-0.4 + 0.7x = -0.6(x + -8)

Reorder the terms:
-0.4 + 0.7x = -0.6(-8 + x)
-0.4 + 0.7x = (-8 * -0.6 + x * -0.6)
-0.4 + 0.7x = (4.8 + -0.6x)

Solving
-0.4 + 0.7x = 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.
-0.4 + 0.7x + 0.6x = 4.8 + -0.6x + 0.6x

Combine like terms: 0.7x + 0.6x = 1.3x
-0.4 + 1.3x = 4.8 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-0.4 + 1.3x = 4.8 + 0.0
-0.4 + 1.3x = 4.8

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 1.3x = 4.8 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 1.3x = 4.8 + 0.4
1.3x = 4.8 + 0.4

Combine like terms: 4.8 + 0.4 = 5.2
1.3x = 5.2

Divide each side by '1.3'.
x = 4

Simplifying
x = 4

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