Question

Solve (2x-4)/3=(4x-2)/5

Exponential models
ANSWERED
asked 2021-06-26
Solve \(\displaystyle\frac{{{2}{x}-{4}}}{{3}}=\frac{{{4}{x}-{2}}}{{5}}\)

Answers (1)

2021-06-27

\(\displaystyle\frac{{{2}{x}-{4}}}{{3}}=\frac{{{4}{x}-{2}}}{{5}}\)
\((2x-4)5=3(4x-2)\)
\(10x-20=12x-6\)
\(10x-20+20=12x-6+20\)
\(10x=12x+14\)
\(10x-12x=12x+14-12x\)
\(-2x=14\)
\(\displaystyle-{2}\frac{{x}}{{-{{2}}}}=\frac{{14}}{{-{{2}}}}\)
\(x=-7\)

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