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

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


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

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

Reorder the terms:
6 + 6x = 2(9 + x)
6 + 6x = (9 * 2 + x * 2)
6 + 6x = (18 + 2x)

Solving
6 + 6x = 18 + 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.
6 + 6x + -2x = 18 + 2x + -2x

Combine like terms: 6x + -2x = 4x
6 + 4x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 4x = 18 + 0
6 + 4x = 18

Add '-6' to each side of the equation.
6 + -6 + 4x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 18 + -6
4x = 18 + -6

Combine like terms: 18 + -6 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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