Question

100 POINTS
I need help with 3 math questions please:
See picture:

Answer 1

Problem 18:
`x = 18`

Problem 19:
`x = 12`

Problem 20:
`x = -3`

Step-by-step explanation:

Problem 18

Step 1: Find x

`(2)/(3)x = 12`

`(2)/(3)x * (3)/(2) =12 * (3)/(2)`

`x = (36)/(2)`

`x = 18`

Answer:
`x = 18`

Problem 19

Step 2: Find x

`2-(5)/(6) x=-8`

`2-(5)/(6) x - 2=-8 - 2`

`-(5)/(6) x = -10`

`-(5)/(6) x * -(6)/(5) = -10* -(6)/(5)`

`x = (60)/(5)`

`x = 12`

Answer:
`x = 12`

Problem 20

Step 3: Find x

`-3-5x=12`

`-3-5x + 3=12 + 3`

`-5x = 15`

`-5x / -5 = 15 / -5`

`x = -3`

Answer:
`x = -3`

Answer 2

(18) The value of x is 18.

(19) The value of x is 12.

(20) The value of x is -3.

Step-by-step explanation:

(18) The equation is
`(2)/(3) x=12`

To remove the fraction, we need to multiply both sides of the equation by
`(3)/(2)`.

Thus, we get,

`(3)/(2)*(2)/(3) x=12* (3)/(2)`

Simplifying, we get,

`x=18`

Thus, the value of x is 18.

(19) The equation is
`2-(5)/(6) x=-8`

It is given that, first subtract 2 from both sides of the equation.

`2-(5)/(6) x-2=-8-2`

Simplifying,

`-(5)/(6) x=-10`

Now, multiply both sides of the equation by
`-(6)/(5)`, we get,

`-(5)/(6) x* -(6)/(5)=-10* -(6)/(5)`

Simplifying, we have,

`x=12`

Thus, the value of x is 12.

(20) The equation is
`-3-5x=12`

It is given that, first add 3 to both sides of the equation.

`-3-5x+3=12+3`

Simplifying, we get,

`-5x=15`

Now, dividing both sides by -5, we get,

`-(5)/(-5) x=(15)/(-5)`

Simplifying, we get,

`x=-3`

Thus, the value of x is -3.