Solve for x 8x-1=(2x+8)/3

$8 x - 1 = \frac{2 x + 8}{3}$

Multiply both sides by $3$ .

$(8 x - 1) \cdot 3 = \frac{2 x + 8}{3} \cdot 3$

Simplify.

Simplify the left side.

Simplify $(8 x - 1) \cdot 3$ .

Apply the distributive property.

$8 x \cdot 3 - 1 \cdot 3 = \frac{2 x + 8}{3} \cdot 3$

Multiply.

Multiply $3$ by $8$ .

$24 x - 1 \cdot 3 = \frac{2 x + 8}{3} \cdot 3$

Multiply $- 1$ by $3$ .

$24 x - 3 = \frac{2 x + 8}{3} \cdot 3$

Simplify the right side.

Simplify $\frac{2 x + 8}{3} \cdot 3$ .

Factor $2$ out of $2 x + 8$ .

Factor $2$ out of $2 x$ .

$24 x - 3 = \frac{2 (x) + 8}{3} \cdot 3$

Factor $2$ out of $8$ .

$24 x - 3 = \frac{2 x + 2 \cdot 4}{3} \cdot 3$

Factor $2$ out of $2 x + 2 \cdot 4$ .

$24 x - 3 = \frac{2 (x + 4)}{3} \cdot 3$

Cancel the common factor of $3$ .

Cancel the common factor.

$24 x - 3 = \frac{2 (x + 4)}{3} \cdot 3$

Rewrite the expression.

$24 x - 3 = 2 (x + 4)$

Apply the distributive property.

$24 x - 3 = 2 x + 2 \cdot 4$

Multiply $2$ by $4$ .

$24 x - 3 = 2 x + 8$

Solve for $x$ .

Move all terms containing $x$ to the left side of the equation.

Subtract $2 x$ from both sides of the equation.

$24 x - 3 - 2 x = 8$

Subtract $2 x$ from $24 x$ .

$22 x - 3 = 8$

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

Add $3$ to both sides of the equation.

$22 x = 8 + 3$

Add $8$ and $3$ .

$22 x = 11$

Divide each term in $22 x = 11$ by $22$ and simplify.

Divide each term in $22 x = 11$ by $22$ .

$\frac{22 x}{22} = \frac{11}{22}$

Simplify the left side.

Cancel the common factor of $22$ .

Cancel the common factor.

$\frac{22 x}{22} = \frac{11}{22}$

Divide $x$ by $1$ .

$x = \frac{11}{22}$

Simplify the right side.

Cancel the common factor of $11$ and $22$ .

Factor $11$ out of $11$ .

$x = \frac{11 (1)}{22}$

Cancel the common factors.

Factor $11$ out of $22$ .

$x = \frac{11 \cdot 1}{11 \cdot 2}$

Cancel the common factor.

$x = \frac{11 \cdot 1}{11 \cdot 2}$

Rewrite the expression.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.5$

Solve for x 8x-1=(2x+8)/3

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