2(x+3)+3(x+5)=71

Solution for 2(x+3)+3(x+5)=71 equation:

Simplifying
2(x + 3) + 3(x + 5) = 71

Reorder the terms:
2(3 + x) + 3(x + 5) = 71
(3 * 2 + x * 2) + 3(x + 5) = 71
(6 + 2x) + 3(x + 5) = 71

Reorder the terms:
6 + 2x + 3(5 + x) = 71
6 + 2x + (5 * 3 + x * 3) = 71
6 + 2x + (15 + 3x) = 71

Reorder the terms:
6 + 15 + 2x + 3x = 71

Combine like terms: 6 + 15 = 21
21 + 2x + 3x = 71

Combine like terms: 2x + 3x = 5x
21 + 5x = 71

Solving
21 + 5x = 71

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + 5x = 71 + -21

Combine like terms: 21 + -21 = 0
0 + 5x = 71 + -21
5x = 71 + -21

Combine like terms: 71 + -21 = 50
5x = 50

Divide each side by '5'.
x = 10

Simplifying
x = 10