# Solve 2/3 (4x-5)=8 by using the division property of equality

Solve $$\displaystyle\frac{{2}}{{3}}{\left({4}{x}-{5}\right)}={8}$$ by using the division property of equality

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Bella
$$\displaystyle\frac{{2}}{{3}}{\left({4}{x}-{5}\right)}={8}$$
$$\displaystyle{\left(\frac{{8}}{{3}}\right)}{x}-\frac{{10}}{{3}}=\frac{{24}}{{3}}$$
$$\displaystyle{8}{x}-{10}={24}$$
$$\displaystyle{8}{x}={34}$$
$$\displaystyle{x}=\frac{{34}}{{8}}$$
$$\displaystyle{x}={4}\frac{{2}}{{8}}={4}\frac{{1}}{{4}}$$