If ∠3 = 5x - 1, and ∠5 = 3x + 11, then x =

5 = 3x + 11

Reorder the terms:

5 = 11 + 3x

Solving

5 = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.

5 + - 3x = 11 + 3x + - 3x

Combine like terms: 3x + - 3x = 0

5 + - 3x = 11 + 0

5 + - 3x = 11

Add '-5' to each side of the equation.

5 + - 5 + - 3x = 11 + - 5

Combine like terms: 5 + - 5 = 0

0 + - 3x = 11 + - 5

-3x = 11 + - 5

Combine like terms: 11 + - 5 = 6

-3x = 6

Divide each side by '-3'.

x = - 2

Simplifying

x = - 2