Solve (x-9)/15 = (2x-9)/10

Evaluate

\frac{x - 9}{15} = \frac{2 x - 9}{10}

Cross multiply

(x - 9) \times 10 = 15 (2 x - 9)

Simplify the equation

10 (x - 9) = 15 (2 x - 9)

Rewrite the expression

5 \times 2 (x - 9) = 5 \times 3 (2 x - 9)

Evaluate

2 (x - 9) = 3 (2 x - 9)

Calculate

More Steps

2 x - 18 = 3 (2 x - 9)

Calculate

More Steps

2 x - 18 = 6 x - 27

Move the expression to the left side

2 x - 18 - (6 x - 27) = 0

Calculate

More Steps

- 4 x + 9 = 0

Move the constant to the right-hand side and change its sign

- 4 x = 0 - 9

Removing 0 doesn't change the value,so remove it from the expression

- 4 x = - 9

Change the signs on both sides of the equation

4 x = 9

Divide both sides

\frac{4 x}{4} = \frac{9}{4}

Solution

x = \frac{9}{4}

Alternative Form

x = 2.25

Solve the equation