9(X+3)+5X-3(5+3X)=52

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Solution for 9(X+3)+5X-3(5+3X)=52 equation: 


Simplifying
9(X + 3) + 5X + -3(5 + 3X) = 52

Reorder the terms:
9(3 + X) + 5X + -3(5 + 3X) = 52
(3 * 9 + X * 9) + 5X + -3(5 + 3X) = 52
(27 + 9X) + 5X + -3(5 + 3X) = 52
27 + 9X + 5X + (5 * -3 + 3X * -3) = 52
27 + 9X + 5X + (-15 + -9X) = 52

Reorder the terms:
27 + -15 + 9X + 5X + -9X = 52

Combine like terms: 27 + -15 = 12
12 + 9X + 5X + -9X = 52

Combine like terms: 9X + 5X = 14X
12 + 14X + -9X = 52

Combine like terms: 14X + -9X = 5X
12 + 5X = 52

Solving
12 + 5X = 52

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + -12 + 5X = 52 + -12

Combine like terms: 12 + -12 = 0
0 + 5X = 52 + -12
5X = 52 + -12

Combine like terms: 52 + -12 = 40
5X = 40

Divide each side by '5'.
X = 8

Simplifying
X = 8

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