2(4x+3)+3(3x-4)=11

Solution for 2(4x+3)+3(3x-4)=11 equation:

Simplifying
2(4x + 3) + 3(3x + -4) = 11

Reorder the terms:
2(3 + 4x) + 3(3x + -4) = 11
(3 * 2 + 4x * 2) + 3(3x + -4) = 11
(6 + 8x) + 3(3x + -4) = 11

Reorder the terms:
6 + 8x + 3(-4 + 3x) = 11
6 + 8x + (-4 * 3 + 3x * 3) = 11
6 + 8x + (-12 + 9x) = 11

Reorder the terms:
6 + -12 + 8x + 9x = 11

Combine like terms: 6 + -12 = -6
-6 + 8x + 9x = 11

Combine like terms: 8x + 9x = 17x
-6 + 17x = 11

Solving
-6 + 17x = 11

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 17x = 11 + 6

Combine like terms: -6 + 6 = 0
0 + 17x = 11 + 6
17x = 11 + 6

Combine like terms: 11 + 6 = 17
17x = 17

Divide each side by '17'.
x = 1

Simplifying
x = 1