Answer:
4
Step-by-step explanation:
Cuzzzzz I know this stuff realy well
To solve this, you need to isolate/get x by itself in the equation:
[tex]\frac{9}{4}x-\frac{5}{6}=-\frac{13}{12} x[/tex] Subtract 9/4x on both sides
[tex]-\frac{5}{6} =-\frac{13}{12} x-\frac{9}{4} x[/tex] 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
[tex]-\frac{5}{6} =-\frac{13}{12}x -(\frac{3}{3})\frac{9}{4}x[/tex]
[tex]-\frac{5}{6} =-\frac{13}{12}x-\frac{27}{12} x[/tex]
[tex]-\frac{5}{6} =-\frac{40}{12} x[/tex] 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]
[tex](-\frac{12}{40})-\frac{5}{6} =(-\frac{12}{40})-\frac{40}{12} x[/tex] [two negative signs cancel each other out and become positive]
[tex]\frac{60}{240} =x[/tex] Simplify the fraction
[tex]\frac{1}{4} =x[/tex]
