Answer: The result is x = 6.
Step-by-step explanation:
-Solve:
[tex]10(2+x)=15 (x-1)+5[/tex]
-First, use the Distributive Property:
[tex]20+ 10x=15x-15+5[/tex]
-Combine 5 with -15:
[tex]20 + 10x = 15x - 10[/tex]
-Subtract 15x from 10x:
[tex]20 + 10x -15x= 15x - 15x -10[/tex]
[tex]20 -5x= -10[/tex]
-Subtract 20 both sides:
[tex]20 - 5x = -10 -20[/tex]
[tex]-5x=-30[/tex]
-Then, you divide both sides by -5:
[tex]\frac{-5x}{-5} = \frac{-30}{-5}[/tex]
[tex]x = 6[/tex]
So, the solution for x is 6.