Use distributive property

4 (x- 5) = 3 (x+ 5)

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