0.9x-0.2(18-4x)=-0.3(x-8)

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Solution for 0.9x-0.2(18-4x)=-0.3(x-8) equation:


Simplifying
0.9x + -0.2(18 + -4x) = -0.3(x + -8)
0.9x + (18 * -0.2 + -4x * -0.2) = -0.3(x + -8)
0.9x + (-3.6 + 0.8x) = -0.3(x + -8)

Reorder the terms:
-3.6 + 0.9x + 0.8x = -0.3(x + -8)

Combine like terms: 0.9x + 0.8x = 1.7x
-3.6 + 1.7x = -0.3(x + -8)

Reorder the terms:
-3.6 + 1.7x = -0.3(-8 + x)
-3.6 + 1.7x = (-8 * -0.3 + x * -0.3)
-3.6 + 1.7x = (2.4 + -0.3x)

Solving
-3.6 + 1.7x = 2.4 + -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.
-3.6 + 1.7x + 0.3x = 2.4 + -0.3x + 0.3x

Combine like terms: 1.7x + 0.3x = 2x
-3.6 + 2x = 2.4 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-3.6 + 2x = 2.4 + 0.0
-3.6 + 2x = 2.4

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 2x = 2.4 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 2x = 2.4 + 3.6
2x = 2.4 + 3.6

Combine like terms: 2.4 + 3.6 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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