Answer:x=-15
Step-by-step explanation:
-3/2x-6=-9/2+21
Step 1: Simplify both sides of the equation.
-3/2x-6=(-9/2-+21)
-3/2x-6=33/2
Step 2: Add 6 to both sides.
-3/2x-6+6=33/2+6
-3/2x=45/2
Step 3: Multiply both sides by 2/(-3).
-3/2x*2/(-3)=2/(-3)*45/2
X=-15
Answer:
x= -15
Step-by-step explanation:
In order to solve this equation, we need to get x by itself. Perform the opposite of what is being done to the equation, to both sides.
-3/2x-6=-9/2+21
First, simplify the right side of the equation. Add -9/2 and 21.
-3/2x-6= (-9/2+21)
-3/2x-6=(-4.5+21)
-3/2x-6=16.5
Now, 6 is being subtracted from -3/2x. The opposite of subtraction is addition. Add 6 to both sides.
-3/2x-6+6=16.5+6
-3/2x=16.5+6
-3/2x=22.5
-3/2 is being multiplied by x. The opposite of multiplication is division. Divide both sides by -3/2.
-3/2x/-3/2= 22.5/ -3/2
When dividing fractions, you can also multiply both sides by the reciprocal of the fraction.
To find the reciprocal, flip the numerator and denominator.
-3/2–flip—> -2/3
-2/3* 3/2x= 22.5*-2/3
x=22.5* -2/3
x=-15
