Solve x -1=7x/3+1

Evaluate

x - 1 = (7 \times \frac{x}{3}) + 1

Multiply the terms

x - 1 = \frac{7 x}{3} + 1

Multiply both sides of the equation by LCD

(x - 1) \times 3 = (\frac{7 x}{3} + 1) \times 3

Simplify the equation

More Steps

3 x - 3 = (\frac{7 x}{3} + 1) \times 3

Simplify the equation

More Steps

3 x - 3 = 7 x + 3

Move the expression to the left side

3 x - 3 - 7 x = 3

Move the expression to the right side

3 x - 7 x = 3 + 3

Add and subtract

More Steps

- 4 x = 3 + 3

Add and subtract

- 4 x = 6

Change the signs on both sides of the equation

4 x = - 6

Divide both sides

\frac{4 x}{4} = \frac{- 6}{4}

Divide the numbers

x = \frac{- 6}{4}

Solution

More Steps

x = - \frac{3}{2}

Alternative Form

x = - 1.5

Solve the equation