4(2x+5)+3(x+1)=34

Solution for 4(2x+5)+3(x+1)=34 equation:

Simplifying
4(2x + 5) + 3(x + 1) = 34

Reorder the terms:
4(5 + 2x) + 3(x + 1) = 34
(5 * 4 + 2x * 4) + 3(x + 1) = 34
(20 + 8x) + 3(x + 1) = 34

Reorder the terms:
20 + 8x + 3(1 + x) = 34
20 + 8x + (1 * 3 + x * 3) = 34
20 + 8x + (3 + 3x) = 34

Reorder the terms:
20 + 3 + 8x + 3x = 34

Combine like terms: 20 + 3 = 23
23 + 8x + 3x = 34

Combine like terms: 8x + 3x = 11x
23 + 11x = 34

Solving
23 + 11x = 34

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 11x = 34 + -23

Combine like terms: 23 + -23 = 0
0 + 11x = 34 + -23
11x = 34 + -23

Combine like terms: 34 + -23 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1