3(X+3)+9=-5(X-7)-1

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Solution for 3(X+3)+9=-5(X-7)-1 equation: 


Simplifying
3(X + 3) + 9 = -5(X + -7) + -1

Reorder the terms:
3(3 + X) + 9 = -5(X + -7) + -1
(3 * 3 + X * 3) + 9 = -5(X + -7) + -1
(9 + 3X) + 9 = -5(X + -7) + -1

Reorder the terms:
9 + 9 + 3X = -5(X + -7) + -1

Combine like terms: 9 + 9 = 18
18 + 3X = -5(X + -7) + -1

Reorder the terms:
18 + 3X = -5(-7 + X) + -1
18 + 3X = (-7 * -5 + X * -5) + -1
18 + 3X = (35 + -5X) + -1

Reorder the terms:
18 + 3X = 35 + -1 + -5X

Combine like terms: 35 + -1 = 34
18 + 3X = 34 + -5X

Solving
18 + 3X = 34 + -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.
18 + 3X + 5X = 34 + -5X + 5X

Combine like terms: 3X + 5X = 8X
18 + 8X = 34 + -5X + 5X

Combine like terms: -5X + 5X = 0
18 + 8X = 34 + 0
18 + 8X = 34

Add '-18' to each side of the equation.
18 + -18 + 8X = 34 + -18

Combine like terms: 18 + -18 = 0
0 + 8X = 34 + -18
8X = 34 + -18

Combine like terms: 34 + -18 = 16
8X = 16

Divide each side by '8'.
X = 2

Simplifying
X = 2

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