Solve for x x+x/2-4=x/4

$x + \frac{x}{2} - 4 = \frac{x}{4}$

Multiply both sides by $4$ .

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

Simplify.

Simplify the left side.

Simplify $(x + \frac{x}{2} - 4) \cdot 4$ .

To write $x$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Combine $x$ and $\frac{2}{2}$ .

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

Combine the numerators over the common denominator.

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

Add $x \cdot 2$ and $x$ .

Reorder $x$ and $2$ .

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

Add $2 \cdot x$ and $x$ .

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

Apply the distributive property.

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

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply.

Multiply $2$ by $3$ .

$6 x - 4 \cdot 4 = \frac{x}{4} \cdot 4$

Multiply $- 4$ by $4$ .

$6 x - 16 = \frac{x}{4} \cdot 4$

Simplify the right side.

Cancel the common factor of $4$ .

Cancel the common factor.

$6 x - 16 = \frac{x}{4} \cdot 4$

Rewrite the expression.

$6 x - 16 = x$

Solve for $x$ .

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

Subtract $x$ from both sides of the equation.

$6 x - 16 - x = 0$

Subtract $x$ from $6 x$ .

$5 x - 16 = 0$

Add $16$ to both sides of the equation.

$5 x = 16$

Divide each term in $5 x = 16$ by $5$ and simplify.

Divide each term in $5 x = 16$ by $5$ .

$\frac{5 x}{5} = \frac{16}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{16}{5}$

Divide $x$ by $1$ .

$x = \frac{16}{5}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{16}{5}$

Decimal Form:

$x = 3.2$

Mixed Number Form:

$x = 3 \frac{1}{5}$

Solve for x x+x/2-4=x/4

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