Solve 3(S-t)-2(S+t)=10

$$3 ( S - t ) - 2 ( S + t ) = 10$$

Solve for S

$$S=5\left(t+2\right)$$

Solution Steps

Use the distributive property to multiply 3 by S-t.

$$3S-3t-2\left(S+t\right)=10$$

Use the distributive property to multiply -2 by S+t.

$$3S-3t-2S-2t=10$$

Combine 3S and -2S to get S.

$$S-3t-2t=10$$

Combine -3t and -2t to get -5t.

$$S-5t=10$$

Add 5t to both sides.

$$S=10+5t$$

Solve for t

$$t=\frac{S-10}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by S-t.

$$3S-3t-2\left(S+t\right)=10$$

Use the distributive property to multiply -2 by S+t.

$$3S-3t-2S-2t=10$$

Combine 3S and -2S to get S.

$$S-3t-2t=10$$

Combine -3t and -2t to get -5t.

$$S-5t=10$$

Subtract S from both sides.

$$-5t=10-S$$

Divide both sides by -5.

$$\frac{-5t}{-5}=\frac{10-S}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$t=\frac{10-S}{-5}$$

Divide 10-S by -5.

$$t=\frac{S}{5}-2$$