Hey there!!
Given equation :
... 4x +3(x+2) = 5(2x-3)
Using the distributive property :
... 4x + 3(x) + 3 (2) = 5(2x) + 5(-3)
... 4x + 3x + 6 = 10x - 15
Combining the like terms :
... 7x + 6 = 10x - 15
Subtracting 7x on both sides :
... 6 = 3x - 15
Adding 15 on both sides :
... 21 = 3x
Dividing by 3 on both sides :
... x = 7
This is the solved equation. The first step we have done to solve the equation was using the distributive property.
Hope my answer helps!