Solve 2(4a-11)=5a-3b

$$2 ( 4 a - 11 ) = 5 a - 3 b$$

Solve for a

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

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 4a-11.

$$8a-22=5a-3b$$

Subtract 5a from both sides.

$$8a-22-5a=-3b$$

Combine 8a and -5a to get 3a.

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

Add 22 to both sides.

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

The equation is in standard form.

$$3a=22-3b$$

Divide both sides by 3.

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

Dividing by 3 undoes the multiplication by 3.

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

Divide -3b+22 by 3.

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

Solve for b

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

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 4a-11.

$$8a-22=5a-3b$$

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

$$5a-3b=8a-22$$

Subtract 5a from both sides.

$$-3b=8a-22-5a$$

Combine 8a and -5a to get 3a.

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

Divide both sides by -3.

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

Dividing by -3 undoes the multiplication by -3.

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

Divide 3a-22 by -3.

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