3(6x-8)=2(5-x)

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Solution for 3(6x-8)=2(5-x) equation:


Simplifying
3(6x + -8) = 2(5 + -1x)

Reorder the terms:
3(-8 + 6x) = 2(5 + -1x)
(-8 * 3 + 6x * 3) = 2(5 + -1x)
(-24 + 18x) = 2(5 + -1x)
-24 + 18x = (5 * 2 + -1x * 2)
-24 + 18x = (10 + -2x)

Solving
-24 + 18x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-24 + 18x + 2x = 10 + -2x + 2x

Combine like terms: 18x + 2x = 20x
-24 + 20x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-24 + 20x = 10 + 0
-24 + 20x = 10

Add '24' to each side of the equation.
-24 + 24 + 20x = 10 + 24

Combine like terms: -24 + 24 = 0
0 + 20x = 10 + 24
20x = 10 + 24

Combine like terms: 10 + 24 = 34
20x = 34

Divide each side by '20'.
x = 1.7

Simplifying
x = 1.7

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