0.2x-0.4(11-3)=0.3(x-8)

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Solution for 0.2x-0.4(11-3)=0.3(x-8) equation: 


Simplifying
0.2x + -0.4(11 + -3) = 0.3(x + -8)

Combine like terms: 11 + -3 = 8
0.2x + -0.4(8) = 0.3(x + -8)

Multiply -0.4 * 8
0.2x + -3.2 = 0.3(x + -8)

Reorder the terms:
-3.2 + 0.2x = 0.3(x + -8)

Reorder the terms:
-3.2 + 0.2x = 0.3(-8 + x)
-3.2 + 0.2x = (-8 * 0.3 + x * 0.3)
-3.2 + 0.2x = (-2.4 + 0.3x)

Solving
-3.2 + 0.2x = -2.4 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
-3.2 + 0.2x + -0.3x = -2.4 + 0.3x + -0.3x

Combine like terms: 0.2x + -0.3x = -0.1x
-3.2 + -0.1x = -2.4 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-3.2 + -0.1x = -2.4 + 0.0
-3.2 + -0.1x = -2.4

Add '3.2' to each side of the equation.
-3.2 + 3.2 + -0.1x = -2.4 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + -0.1x = -2.4 + 3.2
-0.1x = -2.4 + 3.2

Combine like terms: -2.4 + 3.2 = 0.8
-0.1x = 0.8

Divide each side by '-0.1'.
x = -8

Simplifying
x = -8

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