Answer:
[tex]z = 6[/tex]
Step-by-step explanation:
Let's solve:
[tex]5(z+1)=3(z+2)+11[/tex]
Step 1: Simplify both sides of the equation.
[tex]5(z+1)=3(z+2)+11 \\ (5)(z)+(5)(1)=(3)(z)+(3)(2)+11(Distribute) \\
5z+5=3z+6+11 \\
5z+5=(3z)+(6+11)(Combine Like Terms) \\
5z+5=3z+17 \\
5z+5=3z+17[/tex]
Step 2: Subtract 3z from both sides.
[tex]5z+5−3z=3z+17−3z \\ 2z+5=17[/tex]
Step 3: Subtract 5 from both sides.
[tex]2z+5−5=17−5 \\ 2z=12[/tex]
Step 4: Divide both sides by 2.
[tex] \frac{2z}{2} = \frac{12}{2} \\ z = 6[/tex]
