Solve 1/3x+1/4=-2

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

Solve for x

$$x = -\frac{27}{4} = -6\frac{3}{4} = -6.75$$

Steps for Solving Linear Equation

Subtract \frac{1}{4} from both sides.

$$\frac{1}{3}x=-2-\frac{1}{4}$$

Convert -2 to fraction -\frac{8}{4}.

$$\frac{1}{3}x=-\frac{8}{4}-\frac{1}{4}$$

Since -\frac{8}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{3}x=\frac{-8-1}{4}$$

Subtract 1 from -8 to get -9.

$$\frac{1}{3}x=-\frac{9}{4}$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$x=-\frac{9}{4}\times 3$$

Express -\frac{9}{4}\times 3 as a single fraction.

$$x=\frac{-9\times 3}{4}$$

Multiply -9 and 3 to get -27.

$$x=\frac{-27}{4}$$

Fraction \frac{-27}{4} can be rewritten as -\frac{27}{4} by extracting the negative sign.

$$x=-\frac{27}{4}$$