(3x+7)=(2x+9)

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Solution for (3x+7)=(2x+9) equation:


Simplifying
(3x + 7) = (2x + 9)

Reorder the terms:
(7 + 3x) = (2x + 9)

Remove parenthesis around (7 + 3x)
7 + 3x = (2x + 9)

Reorder the terms:
7 + 3x = (9 + 2x)

Remove parenthesis around (9 + 2x)
7 + 3x = 9 + 2x

Solving
7 + 3x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + 3x + -2x = 9 + 2x + -2x

Combine like terms: 3x + -2x = 1x
7 + 1x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 1x = 9 + 0
7 + 1x = 9

Add '-7' to each side of the equation.
7 + -7 + 1x = 9 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 9 + -7
1x = 9 + -7

Combine like terms: 9 + -7 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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