Solve 5x4=2(x-2)

$$5x4=2(x-2)$$

Solve for x

$$x=\frac{5x_{4}}{2}+2$$

Steps for Solving Linear Equation

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

$$5x_{4}=2x-4$$

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

$$2x-4=5x_{4}$$

Add 4 to both sides.

$$2x=5x_{4}+4$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{5x_{4}+4}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{5x_{4}+4}{2}$$

Divide 5x_{4}+4 by 2.

$$x=\frac{5x_{4}}{2}+2$$

Solve for x_4

$$x_{4}=\frac{2\left(x-2\right)}{5}$$

Steps for Solving Linear Equation

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

$$5x_{4}=2x-4$$

Divide both sides by 5.

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

Dividing by 5 undoes the multiplication by 5.

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