0.3(6-x)=0.4(x-8)

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Solution for 0.3(6-x)=0.4(x-8) equation: 


Simplifying
0.3(6 + -1x) = 0.4(x + -8)
(6 * 0.3 + -1x * 0.3) = 0.4(x + -8)
(1.8 + -0.3x) = 0.4(x + -8)

Reorder the terms:
1.8 + -0.3x = 0.4(-8 + x)
1.8 + -0.3x = (-8 * 0.4 + x * 0.4)
1.8 + -0.3x = (-3.2 + 0.4x)

Solving
1.8 + -0.3x = -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.
1.8 + -0.3x + -0.4x = -3.2 + 0.4x + -0.4x

Combine like terms: -0.3x + -0.4x = -0.7x
1.8 + -0.7x = -3.2 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
1.8 + -0.7x = -3.2 + 0.0
1.8 + -0.7x = -3.2

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.7x = -3.2 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.7x = -3.2 + -1.8
-0.7x = -3.2 + -1.8

Combine like terms: -3.2 + -1.8 = -5
-0.7x = -5

Divide each side by '-0.7'.
x = 7.142857143

Simplifying
x = 7.142857143

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