Answer:
AC = 30
Step-by-step explanation:
Start with:
[tex]4x+10=3x-2+2x+7[/tex]
Combine like terms.
[tex]4x+10=5x+5[/tex]
Subtract [tex]4x[/tex] from both sides of the equation.
[tex]10=x+5[/tex]
Subtract [tex]5[/tex] from both sides of the equation.
[tex]x = 5[/tex]
Then, substitute [tex]5[/tex] for [tex]x[/tex] in [tex]AC=4x+10[/tex]
[tex]AC=4(5)+10[/tex]
Multiply.
[tex]AC=20+10[/tex]
Finally, add.
[tex]AC=30[/tex]
