Solve -(2x+5a)+5x-3a=4a

$$- ( 2 x + 5 a ) + 5 x - 3 a = 4 a$$

Solve for a

$$a=\frac{x}{4}$$

Steps for Solving Linear Equation

To find the opposite of 2x+5a, find the opposite of each term.

$$-2x-5a+5x-3a=4a$$

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

$$3x-5a-3a=4a$$

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

$$3x-8a=4a$$

Subtract 4a from both sides.

$$3x-8a-4a=0$$

Combine -8a and -4a to get -12a.

$$3x-12a=0$$

Subtract 3x from both sides. Anything subtracted from zero gives its negation.

$$-12a=-3x$$

Divide both sides by -12.

$$\frac{-12a}{-12}=-\frac{3x}{-12}$$

Dividing by -12 undoes the multiplication by -12.

$$a=-\frac{3x}{-12}$$

Divide -3x by -12.

$$a=\frac{x}{4}$$

Solve for x

$$x=4a$$

Steps for Solving Linear Equation

To find the opposite of 2x+5a, find the opposite of each term.

$$-2x-5a+5x-3a=4a$$

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

$$3x-5a-3a=4a$$

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

$$3x-8a=4a$$

Add 8a to both sides.

$$3x=4a+8a$$

Combine 4a and 8a to get 12a.

$$3x=12a$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{12a}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{12a}{3}$$

Divide 12a by 3.

$$x=4a$$