Question

-3/2x-6=-9/2+21
plsssssssssss help

Answer 1

x= -15

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

Answer 2

Answer:x=-15

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