0.5x-0.1(18-3x)=-0.6(x-4)

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Solution for 0.5x-0.1(18-3x)=-0.6(x-4) equation: 


Simplifying
0.5x + -0.1(18 + -3x) = -0.6(x + -4)
0.5x + (18 * -0.1 + -3x * -0.1) = -0.6(x + -4)
0.5x + (-1.8 + 0.3x) = -0.6(x + -4)

Reorder the terms:
-1.8 + 0.5x + 0.3x = -0.6(x + -4)

Combine like terms: 0.5x + 0.3x = 0.8x
-1.8 + 0.8x = -0.6(x + -4)

Reorder the terms:
-1.8 + 0.8x = -0.6(-4 + x)
-1.8 + 0.8x = (-4 * -0.6 + x * -0.6)
-1.8 + 0.8x = (2.4 + -0.6x)

Solving
-1.8 + 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.
-1.8 + 0.8x + 0.6x = 2.4 + -0.6x + 0.6x

Combine like terms: 0.8x + 0.6x = 1.4x
-1.8 + 1.4x = 2.4 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-1.8 + 1.4x = 2.4 + 0.0
-1.8 + 1.4x = 2.4

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 1.4x = 2.4 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 1.4x = 2.4 + 1.8
1.4x = 2.4 + 1.8

Combine like terms: 2.4 + 1.8 = 4.2
1.4x = 4.2

Divide each side by '1.4'.
x = 3

Simplifying
x = 3

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