0.6x-0.5(11-3x)=-0.8(x-4)

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Solution for 0.6x-0.5(11-3x)=-0.8(x-4) equation: 


Simplifying
0.6x + -0.5(11 + -3x) = -0.8(x + -4)
0.6x + (11 * -0.5 + -3x * -0.5) = -0.8(x + -4)
0.6x + (-5.5 + 1.5x) = -0.8(x + -4)

Reorder the terms:
-5.5 + 0.6x + 1.5x = -0.8(x + -4)

Combine like terms: 0.6x + 1.5x = 2.1x
-5.5 + 2.1x = -0.8(x + -4)

Reorder the terms:
-5.5 + 2.1x = -0.8(-4 + x)
-5.5 + 2.1x = (-4 * -0.8 + x * -0.8)
-5.5 + 2.1x = (3.2 + -0.8x)

Solving
-5.5 + 2.1x = 3.2 + -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.
-5.5 + 2.1x + 0.8x = 3.2 + -0.8x + 0.8x

Combine like terms: 2.1x + 0.8x = 2.9x
-5.5 + 2.9x = 3.2 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-5.5 + 2.9x = 3.2 + 0.0
-5.5 + 2.9x = 3.2

Add '5.5' to each side of the equation.
-5.5 + 5.5 + 2.9x = 3.2 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + 2.9x = 3.2 + 5.5
2.9x = 3.2 + 5.5

Combine like terms: 3.2 + 5.5 = 8.7
2.9x = 8.7

Divide each side by '2.9'.
x = 3

Simplifying
x = 3

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