Question

Solve 9/4x-5/6=-13/12x

Answer 1

To solve this, you need to isolate/get x by itself in the equation:

$\frac{9}{4}x-\frac{5}{6}=-\frac{13}{12} x$      Subtract 9/4x on both sides

$-\frac{5}{6} =-\frac{13}{12} x-\frac{9}{4} x$   To combine fractions, the denominator has to be the same. They both have a least common denominator (LCD) of 12, so multiply -9/4x by 3/3 to make the denominator 12

$-\frac{5}{6} =-\frac{13}{12}x -(\frac{3}{3})\frac{9}{4}x$

$-\frac{5}{6} =-\frac{13}{12}x-\frac{27}{12} x$

$-\frac{5}{6} =-\frac{40}{12} x$     Multiply the reciprocal of -40/12 to get x by itself, which is -12/40 [basically flipping the fraction or switching the numerator and the denominator]

$(-\frac{12}{40})-\frac{5}{6} =(-\frac{12}{40})-\frac{40}{12} x$  [two negative signs cancel each other out and become positive]

$\frac{60}{240} =x$      Simplify the fraction

$\frac{1}{4} =x$

Answer 2

Answer:

4

Step-by-step explanation:

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