4(x-5)=3(x+5)
Multiply the first bracket by 4
(4)(x)=4x
(4)(-5)=-20
Multiply the second bracket by 3
(3)(x)=3x
(3)(5)=15
4x-20=3x+15
Move 3x to the other side
Sign changes from +3x to -3x
4x-3x-20=3x-3x+15
4x-3x-20=15
x-20=15
Move -20 to the other side
Sign changes from -20 to +20
x-20+20=15+20
x=15+20
Answer: x=35