Solve for m (2m-1)/19=m/10

$\frac{2 m - 1}{19} = \frac{m}{10}$

Step 1

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

$(2 m - 1) \cdot 10 = 19 m$

Step 2

Solve the equation for $m$ .

Simplify $(2 m - 1) \cdot 10$ .

Start simplifying.

$0 + 0 + (2 m - 1) \cdot 10 = 19 m$

Simplify by adding zeros.

$(2 m - 1) \cdot 10 = 19 m$

Apply the distributive property.

$2 m \cdot 10 - 1 \cdot 10 = 19 m$

Multiply.

Multiply $10$ by $2$ .

$20 m - 1 \cdot 10 = 19 m$

Multiply $- 1$ by $10$ .

$20 m - 10 = 19 m$

Move all terms containing $m$ to the left side of the equation.

Subtract $19 m$ from both sides of the equation.

$20 m - 10 - 19 m = 0$

Subtract $19 m$ from $20 m$ .

$m - 10 = 0$

Add $10$ to both sides of the equation.

$m = 10$

Solve for m (2m-1)/19=m/10

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