Solve 2(4t-72)=8(3x-5)

$$2 ( 4 t - 72 ) = 8 ( 3 x - 5 )$$

Solve for t

$$t=3x+13$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 4t-72.

$$8t-144=8\left(3x-5\right)$$

Use the distributive property to multiply 8 by 3x-5.

$$8t-144=24x-40$$

Add 144 to both sides.

$$8t=24x-40+144$$

Add -40 and 144 to get 104.

$$8t=24x+104$$

Divide both sides by 8.

$$\frac{8t}{8}=\frac{24x+104}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$t=\frac{24x+104}{8}$$

Divide 24x+104 by 8.

$$t=3x+13$$

Solve for x

$$x=\frac{t-13}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 4t-72.

$$8t-144=8\left(3x-5\right)$$

Use the distributive property to multiply 8 by 3x-5.

$$8t-144=24x-40$$

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

$$24x-40=8t-144$$

Add 40 to both sides.

$$24x=8t-144+40$$

Add -144 and 40 to get -104.

$$24x=8t-104$$

Divide both sides by 24.

$$\frac{24x}{24}=\frac{8t-104}{24}$$

Dividing by 24 undoes the multiplication by 24.

$$x=\frac{8t-104}{24}$$

Divide -104+8t by 24.

$$x=\frac{t-13}{3}$$