2(2x+3)+3(4x-1)=51

Solution for 2(2x+3)+3(4x-1)=51 equation:

Simplifying
2(2x + 3) + 3(4x + -1) = 51

Reorder the terms:
2(3 + 2x) + 3(4x + -1) = 51
(3 * 2 + 2x * 2) + 3(4x + -1) = 51
(6 + 4x) + 3(4x + -1) = 51

Reorder the terms:
6 + 4x + 3(-1 + 4x) = 51
6 + 4x + (-1 * 3 + 4x * 3) = 51
6 + 4x + (-3 + 12x) = 51

Reorder the terms:
6 + -3 + 4x + 12x = 51

Combine like terms: 6 + -3 = 3
3 + 4x + 12x = 51

Combine like terms: 4x + 12x = 16x
3 + 16x = 51

Solving
3 + 16x = 51

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 + 16x = 51 + -3

Combine like terms: 3 + -3 = 0
0 + 16x = 51 + -3
16x = 51 + -3

Combine like terms: 51 + -3 = 48
16x = 48

Divide each side by '16'.
x = 3

Simplifying
x = 3