Solve 5=-6/5*(-2)+c

$$5 = \frac { - 6 } { 5 } \cdot ( - 2 ) + c$$

Solve for c

$$c = \frac{13}{5} = 2\frac{3}{5} = 2.6$$

Steps for Solving Linear Equation

Fraction \frac{-6}{5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$5=-\frac{6}{5}\left(-2\right)+c$$

Express -\frac{6}{5}\left(-2\right) as a single fraction.

$$5=\frac{-6\left(-2\right)}{5}+c$$

Multiply -6 and -2 to get 12.

$$5=\frac{12}{5}+c$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{12}{5}+c=5$$

Subtract \frac{12}{5} from both sides.

$$c=5-\frac{12}{5}$$

Convert 5 to fraction \frac{25}{5}.

$$c=\frac{25}{5}-\frac{12}{5}$$

Since \frac{25}{5} and \frac{12}{5} have the same denominator, subtract them by subtracting their numerators.

$$c=\frac{25-12}{5}$$

Subtract 12 from 25 to get 13.

$$c=\frac{13}{5}$$