12*(5-x)-13*(3+x)=0

Solution for 12*(5-x)-13*(3+x)=0 equation:

Simplifying
12(5 + -1x) + -13(3 + x) = 0
(5 * 12 + -1x * 12) + -13(3 + x) = 0
(60 + -12x) + -13(3 + x) = 0
60 + -12x + (3 * -13 + x * -13) = 0
60 + -12x + (-39 + -13x) = 0

Reorder the terms:
60 + -39 + -12x + -13x = 0

Combine like terms: 60 + -39 = 21
21 + -12x + -13x = 0

Combine like terms: -12x + -13x = -25x
21 + -25x = 0

Solving
21 + -25x = 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 + -25x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -25x = 0 + -21
-25x = 0 + -21

Combine like terms: 0 + -21 = -21
-25x = -21

Divide each side by '-25'.
x = 0.84

Simplifying
x = 0.84