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

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


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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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