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

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

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

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

Reorder the terms:
6 + 3x = 2(1 + 2x)
6 + 3x = (1 * 2 + 2x * 2)
6 + 3x = (2 + 4x)

Solving
6 + 3x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 3x + -4x = 2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = 2 + 0
6 + -1x = 2

Add '-6' to each side of the equation.
6 + -6 + -1x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 2 + -6
-1x = 2 + -6

Combine like terms: 2 + -6 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4