Question

Solve for x: 4/5 x + 4/3 = 2x

Answer 1

\[\frac{4}{5}x + \frac{4}{3} = 2x\]

Answer 2

Subtract 4/5 of x from both sides:

\[\frac{4}{3} = 2x - \frac{4}{5}x\]

Factor out x on the right side:
\[\frac{4}{3} = \left(2 - \frac{4}{5}\right)x\]

Simplify:

\[\frac{4}{3} = \left(\frac{10}{5} - \frac{4}{5}\right)x\]
\[\frac{4}{3} =\frac{6}{5}x\]

Multiply both sides by 5/6:

\[\frac{5}{6} \dot\ \frac{4}{3} = x\]

Simplify
\[\frac{5}{3} \dot\ \frac{2}{3} = x\]

\[\frac{10}{9} = x\]
\[1 \frac{1}{9} = x\]