0.5x-0.2(-12-4x)=0.1(x-4)

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Solution for 0.5x-0.2(-12-4x)=0.1(x-4) equation: 


Simplifying
0.5x + -0.2(-12 + -4x) = 0.1(x + -4)
0.5x + (-12 * -0.2 + -4x * -0.2) = 0.1(x + -4)
0.5x + (2.4 + 0.8x) = 0.1(x + -4)

Reorder the terms:
2.4 + 0.5x + 0.8x = 0.1(x + -4)

Combine like terms: 0.5x + 0.8x = 1.3x
2.4 + 1.3x = 0.1(x + -4)

Reorder the terms:
2.4 + 1.3x = 0.1(-4 + x)
2.4 + 1.3x = (-4 * 0.1 + x * 0.1)
2.4 + 1.3x = (-0.4 + 0.1x)

Solving
2.4 + 1.3x = -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.
2.4 + 1.3x + -0.1x = -0.4 + 0.1x + -0.1x

Combine like terms: 1.3x + -0.1x = 1.2x
2.4 + 1.2x = -0.4 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
2.4 + 1.2x = -0.4 + 0.0
2.4 + 1.2x = -0.4

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 1.2x = -0.4 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 1.2x = -0.4 + -2.4
1.2x = -0.4 + -2.4

Combine like terms: -0.4 + -2.4 = -2.8
1.2x = -2.8

Divide each side by '1.2'.
x = -2.333333333

Simplifying
x = -2.333333333

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