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What is the solution to this equation?

7x -3(x-6) - 30

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

User Ekhanna
by
7.7k points

2 Answers

3 votes

Final answer:

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.

User Sofia Khwaja
by
8.4k points
2 votes

Answer:

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.

User Bcb
by
8.5k points

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