.8x-1.1(x-3)=.2(x-6)

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Solution for .8x-1.1(x-3)=.2(x-6) equation: 


Simplifying
0.8x + -1.1(x + -3) = 0.2(x + -6)

Reorder the terms:
0.8x + -1.1(-3 + x) = 0.2(x + -6)
0.8x + (-3 * -1.1 + x * -1.1) = 0.2(x + -6)
0.8x + (3.3 + -1.1x) = 0.2(x + -6)

Reorder the terms:
3.3 + 0.8x + -1.1x = 0.2(x + -6)

Combine like terms: 0.8x + -1.1x = -0.3x
3.3 + -0.3x = 0.2(x + -6)

Reorder the terms:
3.3 + -0.3x = 0.2(-6 + x)
3.3 + -0.3x = (-6 * 0.2 + x * 0.2)
3.3 + -0.3x = (-1.2 + 0.2x)

Solving
3.3 + -0.3x = -1.2 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
3.3 + -0.3x + -0.2x = -1.2 + 0.2x + -0.2x

Combine like terms: -0.3x + -0.2x = -0.5x
3.3 + -0.5x = -1.2 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
3.3 + -0.5x = -1.2 + 0.0
3.3 + -0.5x = -1.2

Add '-3.3' to each side of the equation.
3.3 + -3.3 + -0.5x = -1.2 + -3.3

Combine like terms: 3.3 + -3.3 = 0.0
0.0 + -0.5x = -1.2 + -3.3
-0.5x = -1.2 + -3.3

Combine like terms: -1.2 + -3.3 = -4.5
-0.5x = -4.5

Divide each side by '-0.5'.
x = 9

Simplifying
x = 9

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