0.9x-0.3(8-5x)=-0.4(x-8)

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Solution for 0.9x-0.3(8-5x)=-0.4(x-8) equation: 


Simplifying
0.9x + -0.3(8 + -5x) = -0.4(x + -8)
0.9x + (8 * -0.3 + -5x * -0.3) = -0.4(x + -8)
0.9x + (-2.4 + 1.5x) = -0.4(x + -8)

Reorder the terms:
-2.4 + 0.9x + 1.5x = -0.4(x + -8)

Combine like terms: 0.9x + 1.5x = 2.4x
-2.4 + 2.4x = -0.4(x + -8)

Reorder the terms:
-2.4 + 2.4x = -0.4(-8 + x)
-2.4 + 2.4x = (-8 * -0.4 + x * -0.4)
-2.4 + 2.4x = (3.2 + -0.4x)

Solving
-2.4 + 2.4x = 3.2 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-2.4 + 2.4x + 0.4x = 3.2 + -0.4x + 0.4x

Combine like terms: 2.4x + 0.4x = 2.8x
-2.4 + 2.8x = 3.2 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-2.4 + 2.8x = 3.2 + 0.0
-2.4 + 2.8x = 3.2

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 2.8x = 3.2 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 2.8x = 3.2 + 2.4
2.8x = 3.2 + 2.4

Combine like terms: 3.2 + 2.4 = 5.6
2.8x = 5.6

Divide each side by '2.8'.
x = 2

Simplifying
x = 2

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