solve for x
Multiply both sides of the equation by 12, the least common multiple of 3,4.
4(x−2)−3(x−2)=84
Use the distributive property to multiply 4 by x−2.
4x−8−3(x−2)=84
Use the distributive property to multiply −3 by x−2
4x−8−3x+6=84
Combine 4x and −3x to get x
x−8+6=84
Add −8 and 6 to get −2.
x−2=84
Add 2 to both sides.
x=84+2
Add 84 and 2 to get 86
x=86