2(x+3)+4(x+5)=56

Solution for 2(x+3)+4(x+5)=56 equation:

Simplifying
2(x + 3) + 4(x + 5) = 56

Reorder the terms:
2(3 + x) + 4(x + 5) = 56
(3 * 2 + x * 2) + 4(x + 5) = 56
(6 + 2x) + 4(x + 5) = 56

Reorder the terms:
6 + 2x + 4(5 + x) = 56
6 + 2x + (5 * 4 + x * 4) = 56
6 + 2x + (20 + 4x) = 56

Reorder the terms:
6 + 20 + 2x + 4x = 56

Combine like terms: 6 + 20 = 26
26 + 2x + 4x = 56

Combine like terms: 2x + 4x = 6x
26 + 6x = 56

Solving
26 + 6x = 56

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 6x = 56 + -26

Combine like terms: 26 + -26 = 0
0 + 6x = 56 + -26
6x = 56 + -26

Combine like terms: 56 + -26 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5