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

Evaluate

\frac{2}{3} = \frac{1 - 2 x}{5}

Swap the sides of the equation

\frac{1 - 2 x}{5} = \frac{2}{3}

Multiply both sides of the equation by 5

\frac{1 - 2 x}{5} \times 5 = \frac{2}{3} \times 5

Multiply the terms

1 - 2 x = \frac{2 \times 5}{3}

Divide the terms

1 - 2 x = \frac{10}{3}

Move the constant to the right side

- 2 x = \frac{10}{3} - 1

Subtract the numbers

More Steps

- 2 x = \frac{7}{3}

Change the signs on both sides of the equation

2 x = - \frac{7}{3}

Multiply by the reciprocal

2 x \times \frac{1}{2} = - \frac{7}{3} \times \frac{1}{2}

Multiply

x = - \frac{7}{3} \times \frac{1}{2}

Solution

More Steps

x = - \frac{7}{6}

Alternative Form

x = - 1.1 \dot{6}

Solve the equation