Solve the equation. 2 of 15 Next▸ 01:16 11 6(2x - 3) + 4 = 16 - (- 18) A x = 4 B x = 1 C x = - 1 D x = 9/2 E x = 35/12

1 answer

Let's solve the equation step by step.

The equation given is:

\[ 6(2x - 3) + 4 = 16 - (-18) \]

First, simplify the right side:

\[ 16 - (-18) = 16 + 18 = 34 \]

Now the equation is:

\[ 6(2x - 3) + 4 = 34 \]

Next, subtract 4 from both sides:

\[ 6(2x - 3) = 34 - 4 \] \[ 6(2x - 3) = 30 \]

Now, divide both sides by 6:

\[ 2x - 3 = \frac{30}{6} \] \[ 2x - 3 = 5 \]

Next, add 3 to both sides:

\[ 2x = 5 + 3 \] \[ 2x = 8 \]

Now, divide by 2:

\[ x = \frac{8}{2} \] \[ x = 4 \]

Thus, the solution is:

\[ \boxed{4} \]

So the answer is A) \( x = 4 \).