0.4x-0.1(18-2x)=-0.6(x-5)

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Solution for 0.4x-0.1(18-2x)=-0.6(x-5) equation: 


Simplifying
0.4x + -0.1(18 + -2x) = -0.6(x + -5)
0.4x + (18 * -0.1 + -2x * -0.1) = -0.6(x + -5)
0.4x + (-1.8 + 0.2x) = -0.6(x + -5)

Reorder the terms:
-1.8 + 0.4x + 0.2x = -0.6(x + -5)

Combine like terms: 0.4x + 0.2x = 0.6x
-1.8 + 0.6x = -0.6(x + -5)

Reorder the terms:
-1.8 + 0.6x = -0.6(-5 + x)
-1.8 + 0.6x = (-5 * -0.6 + x * -0.6)
-1.8 + 0.6x = (3 + -0.6x)

Solving
-1.8 + 0.6x = 3 + -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 + 0.6x + 0.6x = 3 + -0.6x + 0.6x

Combine like terms: 0.6x + 0.6x = 1.2x
-1.8 + 1.2x = 3 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-1.8 + 1.2x = 3 + 0.0
-1.8 + 1.2x = 3

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 1.2x = 3 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 1.2x = 3 + 1.8
1.2x = 3 + 1.8

Combine like terms: 3 + 1.8 = 4.8
1.2x = 4.8

Divide each side by '1.2'.
x = 4

Simplifying
x = 4

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