The answer is x = 4
Step 1: Simplify both sides of the equation.
3
/2
(x−6)=−3
(
3
/2
)(x)+(
3
/2
)(−6)=−3(Distribute)
3
/2
x+−9=−3
3
/2
x−9=−3
Step 2: Add 9 to both sides.
3
/2
x−9+9=−3+9
3
/2
x=6
Step 3: Multiply both sides by 2/3.
(
2
/3
)*(
3
/2
x)=(
2
/3
)*(6)
x=4
Answer:
x=4
