0.5x-0.9(11-4x)=-0.8(x-6)

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Solution for 0.5x-0.9(11-4x)=-0.8(x-6) equation: 


Simplifying
0.5x + -0.9(11 + -4x) = -0.8(x + -6)
0.5x + (11 * -0.9 + -4x * -0.9) = -0.8(x + -6)
0.5x + (-9.9 + 3.6x) = -0.8(x + -6)

Reorder the terms:
-9.9 + 0.5x + 3.6x = -0.8(x + -6)

Combine like terms: 0.5x + 3.6x = 4.1x
-9.9 + 4.1x = -0.8(x + -6)

Reorder the terms:
-9.9 + 4.1x = -0.8(-6 + x)
-9.9 + 4.1x = (-6 * -0.8 + x * -0.8)
-9.9 + 4.1x = (4.8 + -0.8x)

Solving
-9.9 + 4.1x = 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.
-9.9 + 4.1x + 0.8x = 4.8 + -0.8x + 0.8x

Combine like terms: 4.1x + 0.8x = 4.9x
-9.9 + 4.9x = 4.8 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-9.9 + 4.9x = 4.8 + 0.0
-9.9 + 4.9x = 4.8

Add '9.9' to each side of the equation.
-9.9 + 9.9 + 4.9x = 4.8 + 9.9

Combine like terms: -9.9 + 9.9 = 0.0
0.0 + 4.9x = 4.8 + 9.9
4.9x = 4.8 + 9.9

Combine like terms: 4.8 + 9.9 = 14.7
4.9x = 14.7

Divide each side by '4.9'.
x = 3

Simplifying
x = 3

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