Solve for x x+5=x/3

$x + 5 = \frac{x}{3}$

Step 1

Multiply both sides by $3$ .

$(x + 5) \cdot 3 = \frac{x}{3} \cdot 3$

Step 2

Simplify.

Simplify the left side.

Simplify $(x + 5) \cdot 3$ .

Apply the distributive property.

$x \cdot 3 + 5 \cdot 3 = \frac{x}{3} \cdot 3$

Simplify the expression.

Move $3$ to the left of $x$ .

$3 \cdot x + 5 \cdot 3 = \frac{x}{3} \cdot 3$

Multiply $5$ by $3$ .

$3 x + 15 = \frac{x}{3} \cdot 3$

Simplify the right side.

Cancel the common factor of $3$ .

Cancel the common factor.

$3 x + 15 = \frac{x}{3} \cdot 3$

Rewrite the expression.

$3 x + 15 = x$

Step 3

Solve for $x$ .

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

Subtract $x$ from both sides of the equation.

$3 x + 15 - x = 0$

Subtract $x$ from $3 x$ .

$2 x + 15 = 0$

Subtract $15$ from both sides of the equation.

$2 x = - 15$

Divide each term in $2 x = - 15$ by $2$ and simplify.

Divide each term in $2 x = - 15$ by $2$ .

$\frac{2 x}{2} = \frac{- 15}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 15}{2}$

Divide $x$ by $1$ .

$x = \frac{- 15}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{15}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{15}{2}$

Decimal Form:

$x = - 7.5$

Mixed Number Form:

$x = - 7 \frac{1}{2}$

Solve for x x+5=x/3

Related Questions

Support LCMGCF.com by disabling your adblocker.