2(4x+3)+3(2x+1)=23

Solution for 2(4x+3)+3(2x+1)=23 equation:

Simplifying
2(4x + 3) + 3(2x + 1) = 23

Reorder the terms:
2(3 + 4x) + 3(2x + 1) = 23
(3 * 2 + 4x * 2) + 3(2x + 1) = 23
(6 + 8x) + 3(2x + 1) = 23

Reorder the terms:
6 + 8x + 3(1 + 2x) = 23
6 + 8x + (1 * 3 + 2x * 3) = 23
6 + 8x + (3 + 6x) = 23

Reorder the terms:
6 + 3 + 8x + 6x = 23

Combine like terms: 6 + 3 = 9
9 + 8x + 6x = 23

Combine like terms: 8x + 6x = 14x
9 + 14x = 23

Solving
9 + 14x = 23

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 14x = 23 + -9

Combine like terms: 9 + -9 = 0
0 + 14x = 23 + -9
14x = 23 + -9

Combine like terms: 23 + -9 = 14
14x = 14

Divide each side by '14'.
x = 1

Simplifying
x = 1