Solve for x
x = -\frac{55}{3} = -18\frac{1}{3} \approx -18.333333333
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\frac{2}{5}x-4-x=7
Subtract x from both sides.
-\frac{3}{5}x-4=7
Combine \frac{2}{5}x and -x to get -\frac{3}{5}x.
-\frac{3}{5}x=7+4
Add 4 to both sides.
-\frac{3}{5}x=11
Add 7 and 4 to get 11.
x=11\left(-\frac{5}{3}\right)
Multiply both sides by -\frac{5}{3}, the reciprocal of -\frac{3}{5}.
x=\frac{11\left(-5\right)}{3}
Express 11\left(-\frac{5}{3}\right) as a single fraction.
x=\frac{-55}{3}
Multiply 11 and -5 to get -55.
x=-\frac{55}{3}
Fraction \frac{-55}{3} can be rewritten as -\frac{55}{3} by extracting the negative sign.
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