3(4-2x)=5(2-x)

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Solution for 3(4-2x)=5(2-x) equation: 


Simplifying
3(4 + -2x) = 5(2 + -1x)
(4 * 3 + -2x * 3) = 5(2 + -1x)
(12 + -6x) = 5(2 + -1x)
12 + -6x = (2 * 5 + -1x * 5)
12 + -6x = (10 + -5x)

Solving
12 + -6x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
12 + -6x + 5x = 10 + -5x + 5x

Combine like terms: -6x + 5x = -1x
12 + -1x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
12 + -1x = 10 + 0
12 + -1x = 10

Add '-12' to each side of the equation.
12 + -12 + -1x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 10 + -12
-1x = 10 + -12

Combine like terms: 10 + -12 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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