0.8x-0.9(18-4x)=-0.7(x-6)

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Solution for 0.8x-0.9(18-4x)=-0.7(x-6) equation: 


Simplifying
0.8x + -0.9(18 + -4x) = -0.7(x + -6)
0.8x + (18 * -0.9 + -4x * -0.9) = -0.7(x + -6)
0.8x + (-16.2 + 3.6x) = -0.7(x + -6)

Reorder the terms:
-16.2 + 0.8x + 3.6x = -0.7(x + -6)

Combine like terms: 0.8x + 3.6x = 4.4x
-16.2 + 4.4x = -0.7(x + -6)

Reorder the terms:
-16.2 + 4.4x = -0.7(-6 + x)
-16.2 + 4.4x = (-6 * -0.7 + x * -0.7)
-16.2 + 4.4x = (4.2 + -0.7x)

Solving
-16.2 + 4.4x = 4.2 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
-16.2 + 4.4x + 0.7x = 4.2 + -0.7x + 0.7x

Combine like terms: 4.4x + 0.7x = 5.1x
-16.2 + 5.1x = 4.2 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-16.2 + 5.1x = 4.2 + 0.0
-16.2 + 5.1x = 4.2

Add '16.2' to each side of the equation.
-16.2 + 16.2 + 5.1x = 4.2 + 16.2

Combine like terms: -16.2 + 16.2 = 0.0
0.0 + 5.1x = 4.2 + 16.2
5.1x = 4.2 + 16.2

Combine like terms: 4.2 + 16.2 = 20.4
5.1x = 20.4

Divide each side by '5.1'.
x = 4

Simplifying
x = 4

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