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

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


Simplifying
2(4 + -3X) = 5(2 + -1X)
(4 * 2 + -3X * 2) = 5(2 + -1X)
(8 + -6X) = 5(2 + -1X)
8 + -6X = (2 * 5 + -1X * 5)
8 + -6X = (10 + -5X)

Solving
8 + -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.
8 + -6X + 5X = 10 + -5X + 5X

Combine like terms: -6X + 5X = -1X
8 + -1X = 10 + -5X + 5X

Combine like terms: -5X + 5X = 0
8 + -1X = 10 + 0
8 + -1X = 10

Add '-8' to each side of the equation.
8 + -8 + -1X = 10 + -8

Combine like terms: 8 + -8 = 0
0 + -1X = 10 + -8
-1X = 10 + -8

Combine like terms: 10 + -8 = 2
-1X = 2

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

Simplifying
X = -2

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