Solve 3(x-2)-4(y+2)=0

$$3 ( x - 2 ) - 4 ( y + 2 ) = 0$$

Solve for x

$$x=\frac{4y+14}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-2.

$$3x-6-4\left(y+2\right)=0$$

Use the distributive property to multiply -4 by y+2.

$$3x-6-4y-8=0$$

Subtract 8 from -6 to get -14.

$$3x-14-4y=0$$

Add 14 to both sides. Anything plus zero gives itself.

$$3x-4y=14$$

Add 4y to both sides.

$$3x=14+4y$$

The equation is in standard form.

$$3x=4y+14$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{4y+14}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{4y+14}{3}$$

Solve for y

$$y=\frac{3x}{4}-\frac{7}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-2.

$$3x-6-4\left(y+2\right)=0$$

Use the distributive property to multiply -4 by y+2.

$$3x-6-4y-8=0$$

Subtract 8 from -6 to get -14.

$$3x-14-4y=0$$

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

$$-14-4y=-3x$$

Add 14 to both sides.

$$-4y=-3x+14$$

The equation is in standard form.

$$-4y=14-3x$$

Divide both sides by -4.

$$\frac{-4y}{-4}=\frac{14-3x}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$y=\frac{14-3x}{-4}$$

Divide -3x+14 by -4.

$$y=\frac{3x}{4}-\frac{7}{2}$$