Solve 9u-2/4=8u-5/5

$$\frac { 9 u - 2 } { 4 } = \frac { 8 u - 5 } { 5 }$$

Solve for u

$$u=-\frac{10}{13}\approx -0.769230769$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

$$5\left(9u-2\right)=4\left(8u-5\right)$$

Use the distributive property to multiply 5 by 9u-2.

$$45u-10=4\left(8u-5\right)$$

Use the distributive property to multiply 4 by 8u-5.

$$45u-10=32u-20$$

Subtract 32u from both sides.

$$45u-10-32u=-20$$

Combine 45u and -32u to get 13u.

$$13u-10=-20$$

Add 10 to both sides.

$$13u=-20+10$$

Add -20 and 10 to get -10.

$$13u=-10$$

Divide both sides by 13.

$$u=\frac{-10}{13}$$

Fraction \frac{-10}{13} can be rewritten as -\frac{10}{13} by extracting the negative sign.

$$u=-\frac{10}{13}$$