2(4x-3)+3(x+1)=14

Solution for 2(4x-3)+3(x+1)=14 equation:

Simplifying
2(4x + -3) + 3(x + 1) = 14

Reorder the terms:
2(-3 + 4x) + 3(x + 1) = 14
(-3 * 2 + 4x * 2) + 3(x + 1) = 14
(-6 + 8x) + 3(x + 1) = 14

Reorder the terms:
-6 + 8x + 3(1 + x) = 14
-6 + 8x + (1 * 3 + x * 3) = 14
-6 + 8x + (3 + 3x) = 14

Reorder the terms:
-6 + 3 + 8x + 3x = 14

Combine like terms: -6 + 3 = -3
-3 + 8x + 3x = 14

Combine like terms: 8x + 3x = 11x
-3 + 11x = 14

Solving
-3 + 11x = 14

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 + 11x = 14 + 3

Combine like terms: -3 + 3 = 0
0 + 11x = 14 + 3
11x = 14 + 3

Combine like terms: 14 + 3 = 17
11x = 17

Divide each side by '11'.
x = 1.545454545

Simplifying
x = 1.545454545