[tex]\text{Hello there!}\\\\\text{Solve for x:}\\\\7(x -3)=4(x+5)\\\\\text{Distribute the 7 to the variables inside the parenthesis}\\\\7x-21=4(x+5)\\\\\text{Distribute the 4 to the variables inside the parenthesis}\\\\7x-21=4x+20\\\\\text{Subtract 4x from both sides}\\\\3x-21=20\\\\\text{Add 21 to both sides}\\\\3x=41\\\\\text{Divide both sides by 3}\\\\x=41/3\\\\\boxed{\text{x = }\frac{41}{3}}}[/tex]
