2(x+3)+9=3(x+1)+x

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Solution for 2(x+3)+9=3(x+1)+x equation: 


Simplifying
2(x + 3) + 9 = 3(x + 1) + x

Reorder the terms:
2(3 + x) + 9 = 3(x + 1) + x
(3 * 2 + x * 2) + 9 = 3(x + 1) + x
(6 + 2x) + 9 = 3(x + 1) + x

Reorder the terms:
6 + 9 + 2x = 3(x + 1) + x

Combine like terms: 6 + 9 = 15
15 + 2x = 3(x + 1) + x

Reorder the terms:
15 + 2x = 3(1 + x) + x
15 + 2x = (1 * 3 + x * 3) + x
15 + 2x = (3 + 3x) + x

Combine like terms: 3x + x = 4x
15 + 2x = 3 + 4x

Solving
15 + 2x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 2x + -4x = 3 + 4x + -4x

Combine like terms: 2x + -4x = -2x
15 + -2x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -2x = 3 + 0
15 + -2x = 3

Add '-15' to each side of the equation.
15 + -15 + -2x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 3 + -15
-2x = 3 + -15

Combine like terms: 3 + -15 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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