2(x+1)+4(3x-6)=34

Solution for 2(x+1)+4(3x-6)=34 equation:

Simplifying
2(x + 1) + 4(3x + -6) = 34

Reorder the terms:
2(1 + x) + 4(3x + -6) = 34
(1 * 2 + x * 2) + 4(3x + -6) = 34
(2 + 2x) + 4(3x + -6) = 34

Reorder the terms:
2 + 2x + 4(-6 + 3x) = 34
2 + 2x + (-6 * 4 + 3x * 4) = 34
2 + 2x + (-24 + 12x) = 34

Reorder the terms:
2 + -24 + 2x + 12x = 34

Combine like terms: 2 + -24 = -22
-22 + 2x + 12x = 34

Combine like terms: 2x + 12x = 14x
-22 + 14x = 34

Solving
-22 + 14x = 34

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 14x = 34 + 22

Combine like terms: -22 + 22 = 0
0 + 14x = 34 + 22
14x = 34 + 22

Combine like terms: 34 + 22 = 56
14x = 56

Divide each side by '14'.
x = 4

Simplifying
x = 4