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

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


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

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

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

Remove parenthesis around (-7 + 2X)
15 + 5X + -7 + 2X = 3X + -9

Reorder the terms:
15 + -7 + 5X + 2X = 3X + -9

Combine like terms: 15 + -7 = 8
8 + 5X + 2X = 3X + -9

Combine like terms: 5X + 2X = 7X
8 + 7X = 3X + -9

Reorder the terms:
8 + 7X = -9 + 3X

Solving
8 + 7X = -9 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
8 + 7X + -3X = -9 + 3X + -3X

Combine like terms: 7X + -3X = 4X
8 + 4X = -9 + 3X + -3X

Combine like terms: 3X + -3X = 0
8 + 4X = -9 + 0
8 + 4X = -9

Add '-8' to each side of the equation.
8 + -8 + 4X = -9 + -8

Combine like terms: 8 + -8 = 0
0 + 4X = -9 + -8
4X = -9 + -8

Combine like terms: -9 + -8 = -17
4X = -17

Divide each side by '4'.
X = -4.25

Simplifying
X = -4.25

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