Question

What is the solution to this equation?

7x -3(x-6) - 30

A. x+9
B. X=3
C. x = 6
D. X= 12

Answer 1

The solution to the equation 7x - 3(x-6) - 30 = 0 is x = 3.

Step-by-step explanation:

To solve the equation, we can simplify it by distributing the -3 to the terms inside the parentheses:

7x - 3(x-6) - 30 = 0

7x - 3x + 18 - 30 = 0

4x - 12 = 0

Next, we can add 12 to both sides of the equation:

4x = 12

Finally, we divide both sides by 4 to solve for x:

x = 3

Therefore, the solution to the equation is x = 3. So the correct answer is B. X = 3.

Answer 2

B. x = 3

Step-by-step explanation:

To solve the equation
`\sf 7x - 3(x - 6) - 30`, we can simplify and then solve for
`\sf x`:

`\sf 7x - 3(x - 6) - 30`

Distribute the
`\sf -3` inside the parentheses:

`\sf 7x - 3x + 18 - 30`

Combine like terms:

`\sf 4x - 12`

Now, set the expression equal to zero and solve for
`\sf x`:

`\sf 4x - 12 = 0`

Add 12 to both sides:

`\sf 4x - 12 +12= 0 + 12`

`\sf 4x = 12`

Divide by 4:

`\sf (4x )/(4)= (12)/(4)`

`\sf x = 3`

So, the solution to the equation
`\sf 7x - 3(x - 6) - 30 = 0` is
`\sf x = 3`.