0.9x-0.6(18-3x)=-0.1(x-4)

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Solution for 0.9x-0.6(18-3x)=-0.1(x-4) equation: 


Simplifying
0.9x + -0.6(18 + -3x) = -0.1(x + -4)
0.9x + (18 * -0.6 + -3x * -0.6) = -0.1(x + -4)
0.9x + (-10.8 + 1.8x) = -0.1(x + -4)

Reorder the terms:
-10.8 + 0.9x + 1.8x = -0.1(x + -4)

Combine like terms: 0.9x + 1.8x = 2.7x
-10.8 + 2.7x = -0.1(x + -4)

Reorder the terms:
-10.8 + 2.7x = -0.1(-4 + x)
-10.8 + 2.7x = (-4 * -0.1 + x * -0.1)
-10.8 + 2.7x = (0.4 + -0.1x)

Solving
-10.8 + 2.7x = 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.
-10.8 + 2.7x + 0.1x = 0.4 + -0.1x + 0.1x

Combine like terms: 2.7x + 0.1x = 2.8x
-10.8 + 2.8x = 0.4 + -0.1x + 0.1x

Combine like terms: -0.1x + 0.1x = 0.0
-10.8 + 2.8x = 0.4 + 0.0
-10.8 + 2.8x = 0.4

Add '10.8' to each side of the equation.
-10.8 + 10.8 + 2.8x = 0.4 + 10.8

Combine like terms: -10.8 + 10.8 = 0.0
0.0 + 2.8x = 0.4 + 10.8
2.8x = 0.4 + 10.8

Combine like terms: 0.4 + 10.8 = 11.2
2.8x = 11.2

Divide each side by '2.8'.
x = 4

Simplifying
x = 4

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