Hello, I have a test tomorrow in my algebra class and I need to pass this test in order to pass that class. I get most of it but I'm really worried because I don't understand how to solve the equations. For example this is what the equations look like:

7(x-3) = 7(4x+5)

can you please show me how to solve this? I know most of it but I don't know how to fully solve the problem. If you could please show me and explain how to do this step by step it would really help. Thank you!

the basic idea is to first expand all terms (perform the multiplication) and then collect like terms (put all the x together), put x by itself on one side and divide the other by the number multiplying x.

for example:
2(2x-1)=7(x-2)+3x \\
\text{first expand all terms} \\
4x-2=7x-14+3x \\
\text{collect like terms} \\
4x-2=10x-14 \\
\text{isolate x term} \\
12=6x \\
\text{divide and leave only x} \\
2=x