2x+9=3(x+1)

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


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

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

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

Solving
9 + 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.
9 + 2x + -3x = 3 + 3x + -3x

Combine like terms: 2x + -3x = -1x
9 + -1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -1x = 3 + 0
9 + -1x = 3

Add '-9' to each side of the equation.
9 + -9 + -1x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 3 + -9
-1x = 3 + -9

Combine like terms: 3 + -9 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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