Solve 3n-5=-8(6-5n)

$$3 n - 5 = - 8 ( 6 - 5 n )$$

Solve for n

$$n = \frac{43}{37} = 1\frac{6}{37} \approx 1.162162162$$

Steps for Solving Linear Equation

Use the distributive property to multiply -8 by 6-5n.

$$3n-5=-48+40n$$

Subtract 40n from both sides.

$$3n-5-40n=-48$$

Combine 3n and -40n to get -37n.

$$-37n-5=-48$$

Add 5 to both sides.

$$-37n=-48+5$$

Add -48 and 5 to get -43.

$$-37n=-43$$

Divide both sides by -37.

$$n=\frac{-43}{-37}$$

Fraction \frac{-43}{-37} can be simplified to \frac{43}{37} by removing the negative sign from both the numerator and the denominator.

$$n=\frac{43}{37}$$