2(6x+3)=3(2x+3)

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Solution for 2(6x+3)=3(2x+3) equation:


Simplifying
2(6x + 3) = 3(2x + 3)

Reorder the terms:
2(3 + 6x) = 3(2x + 3)
(3 * 2 + 6x * 2) = 3(2x + 3)
(6 + 12x) = 3(2x + 3)

Reorder the terms:
6 + 12x = 3(3 + 2x)
6 + 12x = (3 * 3 + 2x * 3)
6 + 12x = (9 + 6x)

Solving
6 + 12x = 9 + 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.
6 + 12x + -6x = 9 + 6x + -6x

Combine like terms: 12x + -6x = 6x
6 + 6x = 9 + 6x + -6x

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

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

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

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

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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