Greetings!
Solve for x.
[tex]45(15x+20)-7x=56(12x-24)+6[/tex]
Distribute the Parenthesis.
[tex]675x+900-7x=56(12x-24)+6[/tex]
[tex]675x+900-7x=672x-1344+6[/tex]
Combine Like Terms.
[tex]668x+900=672x-1338[/tex]
Add 1338 to both sides.
[tex](668x+900)+1338=(672x-1338)+1338[/tex]
Subtract 668x from both sides.
[tex][(668x+900)+1338]-668x=[(672x-1338)+1338]-668x[/tex]
Simplify.
[tex]900+1338=672x-668x[/tex]
[tex]2238=4x[/tex]
Divide both sides by 4.
[tex](2238)/4=(4x)/4[/tex]
Simplify.
[tex]559.5=x[/tex]
[tex]x=559.5[/tex]
Hope this helps.
-Benjamin
