200 + 10x = 120 + 15x now solve the equation to find x, the number of hours that both companies will charge the same ammount

Answer:
16
Step-by-step explanation:
Given the equation, [tex] 200 + 10x = 120 + 15x [/tex], let's solve for x as follows,
Subtract 200 from both sides
[tex] 200 + 10x - 200 = 120 + 15x - 200 [/tex]
[tex] 10x = - 80 + 15x [/tex]
Subtract 15x from both sides
[tex] 10x - 15x = - 80 + 15x - 15x [/tex]
[tex] -5x = - 80 [/tex]
Divide both sides by -5
[tex] \frac{-5x}{-5} = \frac{-80}{5} [/tex]
[tex] x = 16 [/tex]