Solve 3x_{2}-56=-2x

$$3 x _ { 2 } - 56 = - 2 x$$

Solve for x

$$x=-\frac{3x_{2}}{2}+28$$

Steps for Solving Linear Equation

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

$$-2x=3x_{2}-56$$

Divide both sides by -2.

$$\frac{-2x}{-2}=\frac{3x_{2}-56}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$x=\frac{3x_{2}-56}{-2}$$

Divide 3x_{2}-56 by -2.

$$x=-\frac{3x_{2}}{2}+28$$

Solve for x_2

$$x_{2}=\frac{56-2x}{3}$$

Steps for Solving Linear Equation

Add 56 to both sides.

$$3x_{2}=-2x+56$$

The equation is in standard form.

$$3x_{2}=56-2x$$

Divide both sides by 3.

$$\frac{3x_{2}}{3}=\frac{56-2x}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x_{2}=\frac{56-2x}{3}$$