0.5x-2(12-4x)=0.1(x-4)

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Solution for 0.5x-2(12-4x)=0.1(x-4) equation:


Simplifying
0.5x + -2(12 + -4x) = 0.1(x + -4)
0.5x + (12 * -2 + -4x * -2) = 0.1(x + -4)
0.5x + (-24 + 8x) = 0.1(x + -4)

Reorder the terms:
-24 + 0.5x + 8x = 0.1(x + -4)

Combine like terms: 0.5x + 8x = 8.5x
-24 + 8.5x = 0.1(x + -4)

Reorder the terms:
-24 + 8.5x = 0.1(-4 + x)
-24 + 8.5x = (-4 * 0.1 + x * 0.1)
-24 + 8.5x = (-0.4 + 0.1x)

Solving
-24 + 8.5x = -0.4 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
-24 + 8.5x + -0.1x = -0.4 + 0.1x + -0.1x

Combine like terms: 8.5x + -0.1x = 8.4x
-24 + 8.4x = -0.4 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-24 + 8.4x = -0.4 + 0.0
-24 + 8.4x = -0.4

Add '24' to each side of the equation.
-24 + 24 + 8.4x = -0.4 + 24

Combine like terms: -24 + 24 = 0
0 + 8.4x = -0.4 + 24
8.4x = -0.4 + 24

Combine like terms: -0.4 + 24 = 23.6
8.4x = 23.6

Divide each side by '8.4'.
x = 2.80952381

Simplifying
x = 2.80952381

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