Solve 1/2+2/5s=s-3/4

$$\frac { 1 } { 2 } + \frac { 2 } { 5 } s = s - \frac { 3 } { 4 }$$

Solve for s

$$s = \frac{25}{12} = 2\frac{1}{12} \approx 2.083333333$$

Steps for Solving Linear Equation

Subtract s from both sides.

$$\frac{1}{2}+\frac{2}{5}s-s=-\frac{3}{4}$$

Combine \frac{2}{5}s and -s to get -\frac{3}{5}s.

$$\frac{1}{2}-\frac{3}{5}s=-\frac{3}{4}$$

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

$$-\frac{3}{5}s=-\frac{3}{4}-\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert -\frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$-\frac{3}{5}s=-\frac{3}{4}-\frac{2}{4}$$

Since -\frac{3}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{3}{5}s=\frac{-3-2}{4}$$

Subtract 2 from -3 to get -5.

$$-\frac{3}{5}s=-\frac{5}{4}$$

Multiply both sides by -\frac{5}{3}, the reciprocal of -\frac{3}{5}.

$$s=-\frac{5}{4}\left(-\frac{5}{3}\right)$$

Multiply -\frac{5}{4} times -\frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$s=\frac{-5\left(-5\right)}{4\times 3}$$

Do the multiplications in the fraction \frac{-5\left(-5\right)}{4\times 3}.

$$s=\frac{25}{12}$$