5x+3(2x+3)=3(2x+3)

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Solution for 5x+3(2x+3)=3(2x+3) equation:


Simplifying
5x + 3(2x + 3) = 3(2x + 3)

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

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

Combine like terms: 5x + 6x = 11x
9 + 11x = 3(2x + 3)

Reorder the terms:
9 + 11x = 3(3 + 2x)
9 + 11x = (3 * 3 + 2x * 3)
9 + 11x = (9 + 6x)

Add '-9' to each side of the equation.
9 + -9 + 11x = 9 + -9 + 6x

Combine like terms: 9 + -9 = 0
0 + 11x = 9 + -9 + 6x
11x = 9 + -9 + 6x

Combine like terms: 9 + -9 = 0
11x = 0 + 6x
11x = 6x

Solving
11x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11x + -6x = 6x + -6x

Combine like terms: 11x + -6x = 5x
5x = 6x + -6x

Combine like terms: 6x + -6x = 0
5x = 0

Divide each side by '5'.
x = 0

Simplifying
x = 0

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