0.4x-0.1(18-3x)=-0.3(x-4)

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Solution for 0.4x-0.1(18-3x)=-0.3(x-4) equation: 


Simplifying
0.4x + -0.1(18 + -3x) = -0.3(x + -4)
0.4x + (18 * -0.1 + -3x * -0.1) = -0.3(x + -4)
0.4x + (-1.8 + 0.3x) = -0.3(x + -4)

Reorder the terms:
-1.8 + 0.4x + 0.3x = -0.3(x + -4)

Combine like terms: 0.4x + 0.3x = 0.7x
-1.8 + 0.7x = -0.3(x + -4)

Reorder the terms:
-1.8 + 0.7x = -0.3(-4 + x)
-1.8 + 0.7x = (-4 * -0.3 + x * -0.3)
-1.8 + 0.7x = (1.2 + -0.3x)

Solving
-1.8 + 0.7x = 1.2 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-1.8 + 0.7x + 0.3x = 1.2 + -0.3x + 0.3x

Combine like terms: 0.7x + 0.3x = 1x
-1.8 + 1x = 1.2 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-1.8 + 1x = 1.2 + 0.0
-1.8 + 1x = 1.2

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 1x = 1.2 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 1x = 1.2 + 1.8
1x = 1.2 + 1.8

Combine like terms: 1.2 + 1.8 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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