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solve the equation. $\frac{7}{8}x - \frac{1}{4}=5$ $x=\\square$ (simpli…

Question

solve the equation.
$\frac{7}{8}x - \frac{1}{4}=5$
$x=\square$ (simplify your answer.)

Explanation:

Step1: Add $\frac{1}{4}$ to both sides

$\frac{7}{8}x - \frac{1}{4} + \frac{1}{4} = 5 + \frac{1}{4}$
$\frac{7}{8}x = \frac{20}{4} + \frac{1}{4} = \frac{21}{4}$

Step2: Multiply by $\frac{8}{7}$ to solve for $x$

$x = \frac{21}{4} \times \frac{8}{7}$
$x = \frac{21 \times 8}{4 \times 7} = \frac{168}{28} = 6$

Answer:

$6$