Solve for X: Finding the Solution to x/4 + 2x - 18 = 0

Question

$\frac{x}{4}+2x-18=0$

$x=\text{?}$

00:00 Solve

00:03 We want to isolate the unknown X

00:08 We'll multiply by the denominator to eliminate the fraction

00:20 We'll simplify as much as possible

00:34 We'll arrange the equation so that one side has only the unknown X

00:42 We'll isolate the unknown X

00:53 And this is the solution to the problem

To solve the equation $\frac{x}{4} + 2x - 18 = 0$ , we proceed as follows:

Step 1: Eliminate the fraction by multiplying the entire equation by 4:
$(4) \Big(\frac{x}{4} + 2x - 18\Big) = (4)(0)$
Step 2: Distribute and simplify:
$x + 8x - 72 = 0$
Step 3: Combine like terms:
$9x - 72 = 0$
Step 4: Isolate $9x$ by adding 72 to both sides:
$9x = 72$
Step 5: Solve for $x$ by dividing both sides by 9:
$x = \frac{72}{9}$
Step 6: Simplify the division:
$x = 8$

Thus, the solution to the problem is $x = 8$ .