Solve -3(R-5)=2(T-5)

$$- 3 ( R - 5 ) = 2 ( T - 5 )$$

Solve for R

$$R=\frac{25-2T}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by R-5.

$$-3R+15=2\left(T-5\right)$$

Use the distributive property to multiply 2 by T-5.

$$-3R+15=2T-10$$

Subtract 15 from both sides.

$$-3R=2T-10-15$$

Subtract 15 from -10 to get -25.

$$-3R=2T-25$$

Divide both sides by -3.

$$\frac{-3R}{-3}=\frac{2T-25}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$R=\frac{2T-25}{-3}$$

Divide 2T-25 by -3.

$$R=\frac{25-2T}{3}$$

Solve for T

$$T=\frac{25-3R}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by R-5.

$$-3R+15=2\left(T-5\right)$$

Use the distributive property to multiply 2 by T-5.

$$-3R+15=2T-10$$

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

$$2T-10=-3R+15$$

Add 10 to both sides.

$$2T=-3R+15+10$$

Add 15 and 10 to get 25.

$$2T=-3R+25$$

The equation is in standard form.

$$2T=25-3R$$

Divide both sides by 2.

$$\frac{2T}{2}=\frac{25-3R}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$T=\frac{25-3R}{2}$$