(2x+9)+6=3(x+1)

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Solution for (2x+9)+6=3(x+1) equation:


Simplifying
(2x + 9) + 6 = 3(x + 1)

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

Remove parenthesis around (9 + 2x)
9 + 2x + 6 = 3(x + 1)

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

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

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

Solving
15 + 2x = 3 + 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.
15 + 2x + -3x = 3 + 3x + -3x

Combine like terms: 2x + -3x = -1x
15 + -1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -1x = 3 + 0
15 + -1x = 3

Add '-15' to each side of the equation.
15 + -15 + -1x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 3 + -15
-1x = 3 + -15

Combine like terms: 3 + -15 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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