Solve 6(1/2x+1/3)=(-1)*6

$$6 ( \frac { 1 } { 2 } x + \frac { 1 } { 3 } ) = ( - 1 ) \cdot 6$$

Solve for x

$$x = -\frac{8}{3} = -2\frac{2}{3} \approx -2.666666667$$

Steps for Solving Linear Equation

Cancel out 6 on both sides.

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

Subtract \frac{1}{3} from both sides.

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

Convert -1 to fraction -\frac{3}{3}.

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

Since -\frac{3}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from -3 to get -4.

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

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

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

Express -\frac{4}{3}\times 2 as a single fraction.

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

Multiply -4 and 2 to get -8.

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

Fraction \frac{-8}{3} can be rewritten as -\frac{8}{3} by extracting the negative sign.

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