Equation solving?

the411 · #1 Nov 19, 2007, 03:52 PM

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 im really worried because i dont 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 dont 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!!

asterisk_man · Nov 19, 2007, 04:18 PM

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 $



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