Solve 2(3a-11)=3a-5b

$$2 ( 3 a - 11 ) = 3 a - 5 b$$

Solve for a

$$a=\frac{22-5b}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3a-11.

$$6a-22=3a-5b$$

Subtract 3a from both sides.

$$6a-22-3a=-5b$$

Combine 6a and -3a to get 3a.

$$3a-22=-5b$$

Add 22 to both sides.

$$3a=-5b+22$$

The equation is in standard form.

$$3a=22-5b$$

Divide both sides by 3.

$$\frac{3a}{3}=\frac{22-5b}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$a=\frac{22-5b}{3}$$

Solve for b

$$b=\frac{22-3a}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3a-11.

$$6a-22=3a-5b$$

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

$$3a-5b=6a-22$$

Subtract 3a from both sides.

$$-5b=6a-22-3a$$

Combine 6a and -3a to get 3a.

$$-5b=3a-22$$

Divide both sides by -5.

$$\frac{-5b}{-5}=\frac{3a-22}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$b=\frac{3a-22}{-5}$$

Divide 3a-22 by -5.

$$b=\frac{22-3a}{5}$$