Question

(x/5)-(1/2)=3

Equations and inequalities
ANSWERED
asked 2021-05-26
\(\displaystyle{\left(\frac{{x}}{{5}}\right)}-{\left(\frac{{1}}{{2}}\right)}={3}\)

Answers (1)

2021-05-27
\(\displaystyle{\left(\frac{{x}}{{5}}\right)}-{\left(\frac{{1}}{{2}}\right)}={3}\) Given equation.
\(\displaystyle{10}{\left({\left(\frac{{x}}{{5}}\right)}-{\left(\frac{{1}}{{2}}\right)}\right)}={10}{\left({3}\right)}\) Multiply both sides by the LCD of 10.
2x-5=30 Distribute and multyply.
2x=35 Add 5 on both sides.
\(\displaystyle{x}=\frac{{35}}{{2}}\) Divide both sides by 2.
\(\displaystyle{x}={17}{\left(\frac{{1}}{{2}}\right)}\) Convert to a mixed number.
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