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

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

Simplifying
2(x + 3) + 3(5 + -1x) = 0

Reorder the terms:
2(3 + x) + 3(5 + -1x) = 0
(3 * 2 + x * 2) + 3(5 + -1x) = 0
(6 + 2x) + 3(5 + -1x) = 0
6 + 2x + (5 * 3 + -1x * 3) = 0
6 + 2x + (15 + -3x) = 0

Reorder the terms:
6 + 15 + 2x + -3x = 0

Combine like terms: 6 + 15 = 21
21 + 2x + -3x = 0

Combine like terms: 2x + -3x = -1x
21 + -1x = 0

Solving
21 + -1x = 0

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 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21