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solve the equation and simplify your answer. $6(x - 2) = \\frac{1}{4}(1…

Question

solve the equation and simplify your answer.
$6(x - 2) = \frac{1}{4}(16x + 4)$
$x = \underline{?}$

Explanation:

Step1: Expand both sides

$6x - 12 = \frac{1}{4}(16x) + \frac{1}{4}(4)$
$6x - 12 = 4x + 1$

Step2: Isolate x terms

$6x - 4x = 1 + 12$

Step3: Simplify both sides

$2x = 13$

Step4: Solve for x

$x = \frac{13}{2}$

Answer:

$x = \frac{13}{2}$ or $x=6.5$