3*(3x+3)=2(x+3)

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Solution for 3*(3x+3)=2(x+3) equation:


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

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

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

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

Combine like terms: 9x + -2x = 7x
9 + 7x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 7x = 6 + 0
9 + 7x = 6

Add '-9' to each side of the equation.
9 + -9 + 7x = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = 6 + -9
7x = 6 + -9

Combine like terms: 6 + -9 = -3
7x = -3

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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