0.9x-0.3(16-5x)=-0.8(x-6)

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Solution for 0.9x-0.3(16-5x)=-0.8(x-6) equation: 


Simplifying
0.9x + -0.3(16 + -5x) = -0.8(x + -6)
0.9x + (16 * -0.3 + -5x * -0.3) = -0.8(x + -6)
0.9x + (-4.8 + 1.5x) = -0.8(x + -6)

Reorder the terms:
-4.8 + 0.9x + 1.5x = -0.8(x + -6)

Combine like terms: 0.9x + 1.5x = 2.4x
-4.8 + 2.4x = -0.8(x + -6)

Reorder the terms:
-4.8 + 2.4x = -0.8(-6 + x)
-4.8 + 2.4x = (-6 * -0.8 + x * -0.8)
-4.8 + 2.4x = (4.8 + -0.8x)

Solving
-4.8 + 2.4x = 4.8 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-4.8 + 2.4x + 0.8x = 4.8 + -0.8x + 0.8x

Combine like terms: 2.4x + 0.8x = 3.2x
-4.8 + 3.2x = 4.8 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-4.8 + 3.2x = 4.8 + 0.0
-4.8 + 3.2x = 4.8

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 3.2x = 4.8 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 3.2x = 4.8 + 4.8
3.2x = 4.8 + 4.8

Combine like terms: 4.8 + 4.8 = 9.6
3.2x = 9.6

Divide each side by '3.2'.
x = 3

Simplifying
x = 3

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