5(3X-9)-8=5(X-2)+7

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Solution for 5(3X-9)-8=5(X-2)+7 equation: 


Simplifying
5(3X + -9) + -8 = 5(X + -2) + 7

Reorder the terms:
5(-9 + 3X) + -8 = 5(X + -2) + 7
(-9 * 5 + 3X * 5) + -8 = 5(X + -2) + 7
(-45 + 15X) + -8 = 5(X + -2) + 7

Reorder the terms:
-45 + -8 + 15X = 5(X + -2) + 7

Combine like terms: -45 + -8 = -53
-53 + 15X = 5(X + -2) + 7

Reorder the terms:
-53 + 15X = 5(-2 + X) + 7
-53 + 15X = (-2 * 5 + X * 5) + 7
-53 + 15X = (-10 + 5X) + 7

Reorder the terms:
-53 + 15X = -10 + 7 + 5X

Combine like terms: -10 + 7 = -3
-53 + 15X = -3 + 5X

Solving
-53 + 15X = -3 + 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.
-53 + 15X + -5X = -3 + 5X + -5X

Combine like terms: 15X + -5X = 10X
-53 + 10X = -3 + 5X + -5X

Combine like terms: 5X + -5X = 0
-53 + 10X = -3 + 0
-53 + 10X = -3

Add '53' to each side of the equation.
-53 + 53 + 10X = -3 + 53

Combine like terms: -53 + 53 = 0
0 + 10X = -3 + 53
10X = -3 + 53

Combine like terms: -3 + 53 = 50
10X = 50

Divide each side by '10'.
X = 5

Simplifying
X = 5

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