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x-\left(\frac{2}{5}x+2\right)=70
Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.
x-\frac{2}{5}x-2=70
To find the opposite of \frac{2}{5}x+2, find the opposite of each term.
\frac{3}{5}x-2=70
Combine x and -\frac{2}{5}x to get \frac{3}{5}x.
\frac{3}{5}x=70+2
Add 2 to both sides.
\frac{3}{5}x=72
Add 70 and 2 to get 72.
x=72\times \frac{5}{3}
Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.
x=\frac{72\times 5}{3}
Express 72\times \frac{5}{3} as a single fraction.
x=\frac{360}{3}
Multiply 72 and 5 to get 360.
x=120
Divide 360 by 3 to get 120.