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

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


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

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

Combine like terms: 3x + 2x = 5x
-9 + 5x = 2(x + 3)

Reorder the terms:
-9 + 5x = 2(3 + x)
-9 + 5x = (3 * 2 + x * 2)
-9 + 5x = (6 + 2x)

Solving
-9 + 5x = 6 + 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.
-9 + 5x + -2x = 6 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-9 + 3x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 3x = 6 + 0
-9 + 3x = 6

Add '9' to each side of the equation.
-9 + 9 + 3x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 6 + 9
3x = 6 + 9

Combine like terms: 6 + 9 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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