Solve T=84+88+x/3

$$T = \frac { 84 + 88 + x } { 3 }$$

Solve for T

$$T=\frac{x+172}{3}$$

Solution Steps

Add 84 and 88 to get 172.

$$T=\frac{172+x}{3}$$

Divide each term of 172+x by 3 to get \frac{172}{3}+\frac{1}{3}x.

$$T=\frac{172}{3}+\frac{1}{3}x$$

Solve for x

$$x=3T-172$$

Steps for Solving Linear Equation

Add 84 and 88 to get 172.

$$T=\frac{172+x}{3}$$

Divide each term of 172+x by 3 to get \frac{172}{3}+\frac{1}{3}x.

$$T=\frac{172}{3}+\frac{1}{3}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{172}{3}+\frac{1}{3}x=T$$

Subtract \frac{172}{3} from both sides.

$$\frac{1}{3}x=T-\frac{172}{3}$$

Multiply both sides by 3.

$$\frac{\frac{1}{3}x}{\frac{1}{3}}=\frac{T-\frac{172}{3}}{\frac{1}{3}}$$

Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.

$$x=\frac{T-\frac{172}{3}}{\frac{1}{3}}$$

Divide T-\frac{172}{3} by \frac{1}{3} by multiplying T-\frac{172}{3} by the reciprocal of \frac{1}{3}.

$$x=3T-172$$