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

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

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

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

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

Solving
3 + 2x = 6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
3 + 2x + -9x = 6 + 9x + -9x

Combine like terms: 2x + -9x = -7x
3 + -7x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
3 + -7x = 6 + 0
3 + -7x = 6

Add '-3' to each side of the equation.
3 + -3 + -7x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 6 + -3
-7x = 6 + -3

Combine like terms: 6 + -3 = 3
-7x = 3

Divide each side by '-7'.
x = -0.4285714286

Simplifying
x = -0.4285714286