Solve 2x+2(1/4-z)-3z=1

$$2 x + 2 ( \frac { 1 } { 4 } - z ) - 3 z = 1$$

Solve for x

$$x=\frac{5z}{2}+\frac{1}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by \frac{1}{4}-z.

$$2x+\frac{1}{2}-2z-3z=1$$

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

$$2x+\frac{1}{2}-5z=1$$

Subtract \frac{1}{2} from both sides.

$$2x-5z=1-\frac{1}{2}$$

Subtract \frac{1}{2} from 1 to get \frac{1}{2}.

$$2x-5z=\frac{1}{2}$$

Add 5z to both sides.

$$2x=\frac{1}{2}+5z$$

The equation is in standard form.

$$2x=5z+\frac{1}{2}$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{5z+\frac{1}{2}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{5z+\frac{1}{2}}{2}$$

Divide \frac{1}{2}+5z by 2.

$$x=\frac{5z}{2}+\frac{1}{4}$$

Solve for z

$$z=\frac{2x}{5}-\frac{1}{10}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by \frac{1}{4}-z.

$$2x+\frac{1}{2}-2z-3z=1$$

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

$$2x+\frac{1}{2}-5z=1$$

Subtract 2x from both sides.

$$\frac{1}{2}-5z=1-2x$$

Subtract \frac{1}{2} from both sides.

$$-5z=1-2x-\frac{1}{2}$$

Subtract \frac{1}{2} from 1 to get \frac{1}{2}.

$$-5z=\frac{1}{2}-2x$$

Divide both sides by -5.

$$\frac{-5z}{-5}=\frac{\frac{1}{2}-2x}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$z=\frac{\frac{1}{2}-2x}{-5}$$

Divide \frac{1}{2}-2x by -5.

$$z=\frac{2x}{5}-\frac{1}{10}$$