5(x+3)+2=3(x+9)

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Solution for 5(x+3)+2=3(x+9) equation:


Simplifying
5(x + 3) + 2 = 3(x + 9)

Reorder the terms:
5(3 + x) + 2 = 3(x + 9)
(3 * 5 + x * 5) + 2 = 3(x + 9)
(15 + 5x) + 2 = 3(x + 9)

Reorder the terms:
15 + 2 + 5x = 3(x + 9)

Combine like terms: 15 + 2 = 17
17 + 5x = 3(x + 9)

Reorder the terms:
17 + 5x = 3(9 + x)
17 + 5x = (9 * 3 + x * 3)
17 + 5x = (27 + 3x)

Solving
17 + 5x = 27 + 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.
17 + 5x + -3x = 27 + 3x + -3x

Combine like terms: 5x + -3x = 2x
17 + 2x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + 2x = 27 + 0
17 + 2x = 27

Add '-17' to each side of the equation.
17 + -17 + 2x = 27 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 27 + -17
2x = 27 + -17

Combine like terms: 27 + -17 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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