-0.6(2x-8)=1.3(4-x)

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Solution for -0.6(2x-8)=1.3(4-x) equation: 


Simplifying
-0.6(2x + -8) = 1.3(4 + -1x)

Reorder the terms:
-0.6(-8 + 2x) = 1.3(4 + -1x)
(-8 * -0.6 + 2x * -0.6) = 1.3(4 + -1x)
(4.8 + -1.2x) = 1.3(4 + -1x)
4.8 + -1.2x = (4 * 1.3 + -1x * 1.3)
4.8 + -1.2x = (5.2 + -1.3x)

Solving
4.8 + -1.2x = 5.2 + -1.3x

Solving for variable 'x'.

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

Add '1.3x' to each side of the equation.
4.8 + -1.2x + 1.3x = 5.2 + -1.3x + 1.3x

Combine like terms: -1.2x + 1.3x = 0.1x
4.8 + 0.1x = 5.2 + -1.3x + 1.3x

Combine like terms: -1.3x + 1.3x = 0.0
4.8 + 0.1x = 5.2 + 0.0
4.8 + 0.1x = 5.2

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 0.1x = 5.2 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 0.1x = 5.2 + -4.8
0.1x = 5.2 + -4.8

Combine like terms: 5.2 + -4.8 = 0.4
0.1x = 0.4

Divide each side by '0.1'.
x = 4

Simplifying
x = 4

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