Solve 5/4=-4c+1/2

$$\frac { 5 } { 4 } = - 4 c + \frac { 1 } { 2 }$$

Solve for c

$$c=-\frac{3}{16}=-0.1875$$

Steps for Solving Linear Equation

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

$$-4c+\frac{1}{2}=\frac{5}{4}$$

Subtract \frac{1}{2} from both sides.

$$-4c=\frac{5}{4}-\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{5}{4} and \frac{1}{2} to fractions with denominator 4.

$$-4c=\frac{5}{4}-\frac{2}{4}$$

Since \frac{5}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$-4c=\frac{5-2}{4}$$

Subtract 2 from 5 to get 3.

$$-4c=\frac{3}{4}$$

Divide both sides by -4.

$$c=\frac{\frac{3}{4}}{-4}$$

Express \frac{\frac{3}{4}}{-4} as a single fraction.

$$c=\frac{3}{4\left(-4\right)}$$

Multiply 4 and -4 to get -16.

$$c=\frac{3}{-16}$$

Fraction \frac{3}{-16} can be rewritten as -\frac{3}{16} by extracting the negative sign.

$$c=-\frac{3}{16}$$