Answer: x = 27
Explanation:
we know that vertical angles are equal to each other, so
4x + 7 = [ 5 (x - 4) ]
distribute
4x + 7 = 5x - 20
subtract 4x from each side to combine variables
4x - 4x + 7 = 5x - 4x - 20
simplify
7 = x - 20
add 20 to both sides to solve for x
7 + 20 = x -20 + 20
simplify
27 = x
check your work, substitute value of x into equation
4x + 7 = 5x - 20
4(27) + 7 = 5(27) - 20
108 + 7 = 135 - 20
115 = 115
solution equals and is true, problem solved!