Question

Solve the equation 4(2x + 1) = 6x − 12.

x = - 13/2
x = −8
x = 8
x = -11/2

Answer 1

B. x = -8

Explanation:

To solve the equation 4(2x + 1) = 6x − 12, we'll first use the distributive property to simplify the left side of the equation:

4(2x + 1) = 4 * 2x + 4 * 1

= 8x + 4

Next, we'll substitute this expression into the original equation:

8x + 4 = 6x − 12

Now we have a linear equation in one variable that we can solve by isolating x on one side. To do this, we'll subtract 6x from both sides:

2x + 4 = -12

And then subtract 4 from both sides:

2x = -16

Finally, we'll divide both sides by 2:

x = -8

So the solution to the equation is x = -8.