Solve 12^2/2=60+4(t-6)

$$\frac { 12 ^ { 2 } } { 2 } = 60 + 4 ( t - 6 )$$

Solve for t

$$t=9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$12^{2}=120+8\left(t-6\right)$$

Calculate 12 to the power of 2 and get 144.

$$144=120+8\left(t-6\right)$$

Use the distributive property to multiply 8 by t-6.

$$144=120+8t-48$$

Subtract 48 from 120 to get 72.

$$144=72+8t$$

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

$$72+8t=144$$

Subtract 72 from both sides.

$$8t=144-72$$

Subtract 72 from 144 to get 72.

$$8t=72$$

Divide both sides by 8.

$$t=\frac{72}{8}$$

Divide 72 by 8 to get 9.

$$t=9$$