4(3X-5)=3X-2(4X-7)

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Solution for 4(3X-5)=3X-2(4X-7) equation: 


Simplifying
4(3X + -5) = 3X + -2(4X + -7)

Reorder the terms:
4(-5 + 3X) = 3X + -2(4X + -7)
(-5 * 4 + 3X * 4) = 3X + -2(4X + -7)
(-20 + 12X) = 3X + -2(4X + -7)

Reorder the terms:
-20 + 12X = 3X + -2(-7 + 4X)
-20 + 12X = 3X + (-7 * -2 + 4X * -2)
-20 + 12X = 3X + (14 + -8X)

Reorder the terms:
-20 + 12X = 14 + 3X + -8X

Combine like terms: 3X + -8X = -5X
-20 + 12X = 14 + -5X

Solving
-20 + 12X = 14 + -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.
-20 + 12X + 5X = 14 + -5X + 5X

Combine like terms: 12X + 5X = 17X
-20 + 17X = 14 + -5X + 5X

Combine like terms: -5X + 5X = 0
-20 + 17X = 14 + 0
-20 + 17X = 14

Add '20' to each side of the equation.
-20 + 20 + 17X = 14 + 20

Combine like terms: -20 + 20 = 0
0 + 17X = 14 + 20
17X = 14 + 20

Combine like terms: 14 + 20 = 34
17X = 34

Divide each side by '17'.
X = 2

Simplifying
X = 2

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