Question

-162=-3+4(6 - 7x) A) (-10) B) {6} c) 3 D)-4)

Answer 1

The value of x is option B) 6.

Step-by-step explanation:

The given equation is -162=-3+4(6 - 7x).

You can see the bracket on the right of the equation. To remove the bracket, we must use the distributive property.

The distributive property is to multiply the number outside the bracket with each term present inside the bracket.

Here, the number outside the bracket is 4 ans we have to multiply it with 6 and -7x which are inside the bracket.

The simplified form is,

⇒ -162 = -3 + 24 - 28x

Keep x term alone on one side and bring all the constant terms to the other side of the equation.

⇒ -162 = 21 -28x

⇒ 28x = 21+162

⇒ 28x = 183

Divide by 28,

⇒ x = 183/28

⇒ x = 6.5

x can be approximated to 6 which is option B)

Therefore, the value of x is 6.