Question

$\frac{3x}{4} - \frac{1}{4} (x - 20) = \frac{x}{4} + 32$
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Answer 1

Step by step solution :

Finding x

$\frac{3x}{4} - \frac{1}{4} (x - 20) = \frac{x}{4} + 32 \\ \frac{3x}{4} - \frac{x}{4} - \frac{20}{4} = \frac{x}{4} + 32 \\ \frac{3x - x}{4} - 5 = \frac{x}{4} + 32 \\ \frac{2x}{4} = \frac{x}{4} + 32 + 5 \\ \frac{x}{2} = \frac{x}{4} + 37 \\ \frac{x \times 4}{2 \times x} = 37 \\ \frac{4x}{2x} = 37 \\ 2x = 37 \\ x = \frac{37}{2} \\ x = 18.5$

x = 18.5