Solve 3 x + 7 - (8x)/3 = 17/6 - (5x)/2

Evaluate

3 x + 7 - \frac{8 x}{3} = \frac{17}{6} - \frac{5 x}{2}

Multiply both sides of the equation by LCD

(3 x + 7 - \frac{8 x}{3}) \times 6 = (\frac{17}{6} - \frac{5 x}{2}) \times 6

Simplify the equation

More Steps

2 x + 42 = (\frac{17}{6} - \frac{5 x}{2}) \times 6

Simplify the equation

More Steps

2 x + 42 = 17 - 15 x

Move the expression to the left side

2 x + 42 + 15 x = 17

Move the expression to the right side

2 x + 15 x = 17 - 42

Add and subtract

More Steps

17 x = 17 - 42

Add and subtract

17 x = - 25

Divide both sides

\frac{17 x}{17} = \frac{- 25}{17}

Divide the numbers

x = \frac{- 25}{17}

Solution

x = - \frac{25}{17}

Alternative Form

x \approx - 1.470588

Solve the equation