Question

question
solve for x in simplest form.
$16 = \frac{7}{6}(4x + 18)$
answer attempt 2 out of 2
$x = -2.36$
submit answer

Explanation:

Step1: Eliminate the fraction

Multiply both sides by 6:
$$16 \times 6 = \frac{7}{6}(4x+18) \times 6$$
$$96 = 7(4x+18)$$

Step2: Expand the right-hand side

Distribute the 7:
$$96 = 28x + 126$$

Step3: Isolate the x-term

Subtract 126 from both sides:
$$96 - 126 = 28x$$
$$-30 = 28x$$

Step4: Solve for x

Divide both sides by 28, simplify the fraction:
$$x = \frac{-30}{28} = -\frac{15}{14}$$

Answer:

$x = -\frac{15}{14}$ (or $x \approx -1.07$ as a decimal)