2(2x+3)+3(3x-1)=55

Solution for 2(2x+3)+3(3x-1)=55 equation:

Simplifying
2(2x + 3) + 3(3x + -1) = 55

Reorder the terms:
2(3 + 2x) + 3(3x + -1) = 55
(3 * 2 + 2x * 2) + 3(3x + -1) = 55
(6 + 4x) + 3(3x + -1) = 55

Reorder the terms:
6 + 4x + 3(-1 + 3x) = 55
6 + 4x + (-1 * 3 + 3x * 3) = 55
6 + 4x + (-3 + 9x) = 55

Reorder the terms:
6 + -3 + 4x + 9x = 55

Combine like terms: 6 + -3 = 3
3 + 4x + 9x = 55

Combine like terms: 4x + 9x = 13x
3 + 13x = 55

Solving
3 + 13x = 55

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 13x = 55 + -3

Combine like terms: 3 + -3 = 0
0 + 13x = 55 + -3
13x = 55 + -3

Combine like terms: 55 + -3 = 52
13x = 52

Divide each side by '13'.
x = 4

Simplifying
x = 4