Solve 2a-3x=2(x+2a)-4

$$2 a - 3 x = 2 ( x + 2 a ) - 4$$

Solve for a

$$a=-\frac{5x}{2}+2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+2a.

$$2a-3x=2x+4a-4$$

Subtract 4a from both sides.

$$2a-3x-4a=2x-4$$

Combine 2a and -4a to get -2a.

$$-2a-3x=2x-4$$

Add 3x to both sides.

$$-2a=2x-4+3x$$

Combine 2x and 3x to get 5x.

$$-2a=5x-4$$

Divide both sides by -2.

$$\frac{-2a}{-2}=\frac{5x-4}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$a=\frac{5x-4}{-2}$$

Divide 5x-4 by -2.

$$a=-\frac{5x}{2}+2$$

Solve for x

$$x=\frac{4-2a}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+2a.

$$2a-3x=2x+4a-4$$

Subtract 2x from both sides.

$$2a-3x-2x=4a-4$$

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

$$2a-5x=4a-4$$

Subtract 2a from both sides.

$$-5x=4a-4-2a$$

Combine 4a and -2a to get 2a.

$$-5x=2a-4$$

Divide both sides by -5.

$$\frac{-5x}{-5}=\frac{2a-4}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$x=\frac{2a-4}{-5}$$

Divide -4+2a by -5.

$$x=\frac{4-2a}{5}$$