5(3X-8)-4=5(X-2)-14

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Solution for 5(3X-8)-4=5(X-2)-14 equation:


Simplifying
5(3X + -8) + -4 = 5(X + -2) + -14

Reorder the terms:
5(-8 + 3X) + -4 = 5(X + -2) + -14
(-8 * 5 + 3X * 5) + -4 = 5(X + -2) + -14
(-40 + 15X) + -4 = 5(X + -2) + -14

Reorder the terms:
-40 + -4 + 15X = 5(X + -2) + -14

Combine like terms: -40 + -4 = -44
-44 + 15X = 5(X + -2) + -14

Reorder the terms:
-44 + 15X = 5(-2 + X) + -14
-44 + 15X = (-2 * 5 + X * 5) + -14
-44 + 15X = (-10 + 5X) + -14

Reorder the terms:
-44 + 15X = -10 + -14 + 5X

Combine like terms: -10 + -14 = -24
-44 + 15X = -24 + 5X

Solving
-44 + 15X = -24 + 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.
-44 + 15X + -5X = -24 + 5X + -5X

Combine like terms: 15X + -5X = 10X
-44 + 10X = -24 + 5X + -5X

Combine like terms: 5X + -5X = 0
-44 + 10X = -24 + 0
-44 + 10X = -24

Add '44' to each side of the equation.
-44 + 44 + 10X = -24 + 44

Combine like terms: -44 + 44 = 0
0 + 10X = -24 + 44
10X = -24 + 44

Combine like terms: -24 + 44 = 20
10X = 20

Divide each side by '10'.
X = 2

Simplifying
X = 2

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