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\frac{5}{3}x-4-\frac{7}{3}x=-5
Subtract \frac{7}{3}x from both sides.
-\frac{2}{3}x-4=-5
Combine \frac{5}{3}x and -\frac{7}{3}x to get -\frac{2}{3}x.
-\frac{2}{3}x=-5+4
Add 4 to both sides.
-\frac{2}{3}x=-1
Add -5 and 4 to get -1.
x=-\left(-\frac{3}{2}\right)
Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.
x=\frac{3}{2}
Multiply -1 and -\frac{3}{2} to get \frac{3}{2}.