Solve for x 8/3x+(x-6)/3=2

$\frac{8}{3} x + \frac{x - 6}{3} = 2$

Step 1

Simplify $\frac{8}{3} x + \frac{x - 6}{3}$ .

Combine $\frac{8}{3}$ and $x$ .

$\frac{8 x}{3} + \frac{x - 6}{3} = 2$

Combine the numerators over the common denominator.

$\frac{8 x + x - 6}{3} = 2$

Add $8 x$ and $x$ .

$\frac{9 x - 6}{3} = 2$

Cancel the common factor of $9 x - 6$ and $3$ .

Factor $3$ out of $9 x$ .

$\frac{3 (3 x) - 6}{3} = 2$

Factor $3$ out of $- 6$ .

$\frac{3 (3 x) + 3 \cdot - 2}{3} = 2$

Factor $3$ out of $3 (3 x) + 3 (- 2)$ .

$\frac{3 (3 x - 2)}{3} = 2$

Cancel the common factors.

Factor $3$ out of $3$ .

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

Cancel the common factor.

$\frac{3 (3 x - 2)}{3 \cdot 1} = 2$

Rewrite the expression.

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

Divide $3 x - 2$ by $1$ .

$3 x - 2 = 2$

Step 2

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

Add $2$ to both sides of the equation.

$3 x = 2 + 2$

Add $2$ and $2$ .

$3 x = 4$

Step 3

Divide each term in $3 x = 4$ by $3$ and simplify.

Divide each term in $3 x = 4$ by $3$ .

$\frac{3 x}{3} = \frac{4}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{4}{3}$

Divide $x$ by $1$ .

$x = \frac{4}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{4}{3}$

Decimal Form:

$x = 1.\overline{3}$

Mixed Number Form:

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

Solve for x 8/3x+(x-6)/3=2

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