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

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


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

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

Combine like terms: 3x + 9x = 12x
9 + 12x = 2(5 + 3x) + 5
9 + 12x = (5 * 2 + 3x * 2) + 5
9 + 12x = (10 + 6x) + 5

Reorder the terms:
9 + 12x = 10 + 5 + 6x

Combine like terms: 10 + 5 = 15
9 + 12x = 15 + 6x

Solving
9 + 12x = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9 + 12x + -6x = 15 + 6x + -6x

Combine like terms: 12x + -6x = 6x
9 + 6x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + 6x = 15 + 0
9 + 6x = 15

Add '-9' to each side of the equation.
9 + -9 + 6x = 15 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = 15 + -9
6x = 15 + -9

Combine like terms: 15 + -9 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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