Question

What is the value of x that satisfies the equation 7x-3(x-6) = 30?

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

Answer 1

The correct value of x that satisfies the equation 7x-3(x-6) = 30 is x = 3, after distributing, combining like terms, and isolating x.

Step-by-step explanation:

The value of x that satisfies the equation 7x-3(x-6) = 30 can be found by using the distributive property to simplify the equation and by solving the resulting linear equation for x. Let's break down the steps:

• First, distribute the -3 across the terms inside the parenthesis: 7x - 3x + 18 = 30.
• Next, combine like terms: 4x + 18 = 30.
• Then, subtract 18 from both sides to isolate the terms with x: 4x = 12.
• Finally, divide both sides by 4 to solve for x: x = 3.

Therefore, the correct answer is D. x = 3.