Solve 1/15t-(-1/5t+12)=0

$$\frac { 1 } { 15 } t - ( - \frac { 1 } { 5 } t + 12 ) = 0$$

Solve for t

$$t=45$$

Steps for Solving Linear Equation

To find the opposite of -\frac{1}{5}t+12, find the opposite of each term.

$$\frac{1}{15}t-\left(-\frac{1}{5}t\right)-12=0$$

The opposite of -\frac{1}{5}t is \frac{1}{5}t.

$$\frac{1}{15}t+\frac{1}{5}t-12=0$$

Combine \frac{1}{15}t and \frac{1}{5}t to get \frac{4}{15}t.

$$\frac{4}{15}t-12=0$$

Add 12 to both sides. Anything plus zero gives itself.

$$\frac{4}{15}t=12$$

Multiply both sides by \frac{15}{4}, the reciprocal of \frac{4}{15}.

$$t=12\times \frac{15}{4}$$

Express 12\times \frac{15}{4} as a single fraction.

$$t=\frac{12\times 15}{4}$$

Multiply 12 and 15 to get 180.

$$t=\frac{180}{4}$$

Divide 180 by 4 to get 45.

$$t=45$$