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question solve for x in simplest form. 16 = \\frac{7}{6}(4x + 18)

Question

question
solve for x in simplest form.
16 = \frac{7}{6}(4x + 18)

Explanation:

Step1: Multiply both sides by 6

$16\times6=\frac{7}{6}(4x + 18)\times6$
$96 = 7(4x+18)$

Step2: Distribute 7 on the right - hand side

$96=28x + 126$

Step3: Subtract 126 from both sides

$96-126=28x+126 - 126$
$-30 = 28x$

Step4: Solve for x

$x=\frac{-30}{28}=-\frac{15}{14}$

Answer:

$x =-\frac{15}{14}$