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

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

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

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

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

Solving
3 + 6x = 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.
3 + 6x + -2x = 6 + 2x + -2x

Combine like terms: 6x + -2x = 4x
3 + 4x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 4x = 6 + 0
3 + 4x = 6

Add '-3' to each side of the equation.
3 + -3 + 4x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 6 + -3
4x = 6 + -3

Combine like terms: 6 + -3 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75