Let's solve your equation step-by-step
7(x-3)=4(x+5)
Step 1:Simplify both side of the equation
7(x-3)=4(x+5)
(7)(x)+(7)(-3)=(4)(x)+(4)(5) (Distribute)
7x+-21=4x+20
7x-21=4x+20
Step 2:Subtract 4x from both sides
7x-21-4x=4x+20-4x
3x-21=20
Step 3: Add 21 to both sides
3x-21+21=20+21
3x=41
Step 4: Divide both sides by 3
3x/3 =41/3
Answer: x=41/3