Solve for x 8x-2-5x=8

$8 x - 2 - 5 x = 8$

Step 1

Subtract $5 x$ from $8 x$ .

$3 x - 2 = 8$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Add $2$ to both sides of the equation.

$3 x = 8 + 2$

Add $8$ and $2$ .

$3 x = 10$

Step 3

Divide each term in $3 x = 10$ by $3$ and simplify.

Divide each term in $3 x = 10$ by $3$ .

$\frac{3 x}{3} = \frac{10}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{10}{3}$

Divide $x$ by $1$ .

$x = \frac{10}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{10}{3}$

Decimal Form:

$x = 3.\overline{3}$

Mixed Number Form:

$x = 3 \frac{1}{3}$