Solve 4.5(2n-1)=3.1(5n+4)

$$4.5 ( 2 n - 1 ) = 3.1 ( 5 n + 4 )$$

Solve for n

$$n=-2.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4.5 by 2n-1.

$$9n-4.5=3.1\left(5n+4\right)$$

Use the distributive property to multiply 3.1 by 5n+4.

$$9n-4.5=15.5n+12.4$$

Subtract 15.5n from both sides.

$$9n-4.5-15.5n=12.4$$

Combine 9n and -15.5n to get -6.5n.

$$-6.5n-4.5=12.4$$

Add 4.5 to both sides.

$$-6.5n=12.4+4.5$$

Add 12.4 and 4.5 to get 16.9.

$$-6.5n=16.9$$

Divide both sides by -6.5.

$$n=\frac{16.9}{-6.5}$$

Expand \frac{16.9}{-6.5} by multiplying both numerator and the denominator by 10.

$$n=\frac{169}{-65}$$

Reduce the fraction \frac{169}{-65} to lowest terms by extracting and canceling out 13.

$$n=-\frac{13}{5}$$