Solve 3-5(n-1)=-265/2

$$3 - 5 ( n - 1 ) = \frac { - 265 } { 2 }$$

Solve for n

$$n = \frac{281}{10} = 28\frac{1}{10} = 28.1$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by n-1.

$$3-5n+5=\frac{-265}{2}$$

Add 3 and 5 to get 8.

$$8-5n=\frac{-265}{2}$$

Fraction \frac{-265}{2} can be rewritten as -\frac{265}{2} by extracting the negative sign.

$$8-5n=-\frac{265}{2}$$

Subtract 8 from both sides.

$$-5n=-\frac{265}{2}-8$$

Convert 8 to fraction \frac{16}{2}.

$$-5n=-\frac{265}{2}-\frac{16}{2}$$

Since -\frac{265}{2} and \frac{16}{2} have the same denominator, subtract them by subtracting their numerators.

$$-5n=\frac{-265-16}{2}$$

Subtract 16 from -265 to get -281.

$$-5n=-\frac{281}{2}$$

Divide both sides by -5.

$$n=\frac{-\frac{281}{2}}{-5}$$

Express \frac{-\frac{281}{2}}{-5} as a single fraction.

$$n=\frac{-281}{2\left(-5\right)}$$

Multiply 2 and -5 to get -10.

$$n=\frac{-281}{-10}$$

Fraction \frac{-281}{-10} can be simplified to \frac{281}{10} by removing the negative sign from both the numerator and the denominator.

$$n=\frac{281}{10}$$