Solve (t-2)/3 - (t 7)/5 = (t-4)/102

Evaluate

\frac{t - 2}{3} - \frac{t \times 7}{5} = \frac{t - 4}{102}

Use the commutative property to reorder the terms

\frac{t - 2}{3} - \frac{7 t}{5} = \frac{t - 4}{102}

Multiply both sides of the equation by LCD

(\frac{t - 2}{3} - \frac{7 t}{5}) \times 510 = \frac{t - 4}{102} \times 510

Simplify the equation

More Steps

- 544 t - 340 = \frac{t - 4}{102} \times 510

Simplify the equation

More Steps

- 544 t - 340 = 5 t - 20

Move the expression to the left side

- 544 t - 340 - 5 t = - 20

Move the expression to the right side

- 544 t - 5 t = - 20 + 340

Add and subtract

More Steps

- 549 t = - 20 + 340

Add and subtract

- 549 t = 320

Change the signs on both sides of the equation

549 t = - 320

Divide both sides

\frac{549 t}{549} = \frac{- 320}{549}

Divide the numbers

t = \frac{- 320}{549}

Solution

t = - \frac{320}{549}

Alternative Form

t \approx - 0.582878

Solve the equation