0.5x-0.1(4-3x)=0.6(x-4)

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Solution for 0.5x-0.1(4-3x)=0.6(x-4) equation: 


Simplifying
0.5x + -0.1(4 + -3x) = 0.6(x + -4)
0.5x + (4 * -0.1 + -3x * -0.1) = 0.6(x + -4)
0.5x + (-0.4 + 0.3x) = 0.6(x + -4)

Reorder the terms:
-0.4 + 0.5x + 0.3x = 0.6(x + -4)

Combine like terms: 0.5x + 0.3x = 0.8x
-0.4 + 0.8x = 0.6(x + -4)

Reorder the terms:
-0.4 + 0.8x = 0.6(-4 + x)
-0.4 + 0.8x = (-4 * 0.6 + x * 0.6)
-0.4 + 0.8x = (-2.4 + 0.6x)

Solving
-0.4 + 0.8x = -2.4 + 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 + 0.8x + -0.6x = -2.4 + 0.6x + -0.6x

Combine like terms: 0.8x + -0.6x = 0.2x
-0.4 + 0.2x = -2.4 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
-0.4 + 0.2x = -2.4 + 0.0
-0.4 + 0.2x = -2.4

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.2x = -2.4 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.2x = -2.4 + 0.4
0.2x = -2.4 + 0.4

Combine like terms: -2.4 + 0.4 = -2
0.2x = -2

Divide each side by '0.2'.
x = -10

Simplifying
x = -10

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