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

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


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

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

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

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

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

Solving
3x = 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.
3x + -2x = 6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
1x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
1x = 6 + 0
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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