Solve 1/3(x+5)=1/4x-1

$$\frac { 1 } { 3 } ( x + 5 ) = \frac { 1 } { 4 } x - 1$$

Solve for x

$$x=-32$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{3} by x+5.

$$\frac{1}{3}x+\frac{1}{3}\times 5=\frac{1}{4}x-1$$

Multiply \frac{1}{3} and 5 to get \frac{5}{3}.

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

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

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

Combine \frac{1}{3}x and -\frac{1}{4}x to get \frac{1}{12}x.

$$\frac{1}{12}x+\frac{5}{3}=-1$$

Subtract \frac{5}{3} from both sides.

$$\frac{1}{12}x=-1-\frac{5}{3}$$

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

$$\frac{1}{12}x=-\frac{3}{3}-\frac{5}{3}$$

Since -\frac{3}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{12}x=\frac{-3-5}{3}$$

Subtract 5 from -3 to get -8.

$$\frac{1}{12}x=-\frac{8}{3}$$

Multiply both sides by 12, the reciprocal of \frac{1}{12}.

$$x=-\frac{8}{3}\times 12$$

Express -\frac{8}{3}\times 12 as a single fraction.

$$x=\frac{-8\times 12}{3}$$

Multiply -8 and 12 to get -96.

$$x=\frac{-96}{3}$$

Divide -96 by 3 to get -32.

$$x=-32$$