Solve for x 1/4(x-4)+x=14

$\frac{1}{4} (x - 4) + x = 14$

Simplify $\frac{1}{4} \cdot (x - 4) + x$ .

Simplify each term.

Apply the distributive property.

$\frac{1}{4} x + \frac{1}{4} \cdot - 4 + x = 14$

Combine $\frac{1}{4}$ and $x$ .

$\frac{x}{4} + \frac{1}{4} \cdot - 4 + x = 14$

Cancel the common factor of $4$ .

Factor $4$ out of $- 4$ .

$\frac{x}{4} + \frac{1}{4} \cdot (4 (- 1)) + x = 14$

Cancel the common factor.

$\frac{x}{4} + \frac{1}{4} \cdot (4 \cdot - 1) + x = 14$

Rewrite the expression.

$\frac{x}{4} - 1 + x = 14$

To write $x$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{x}{4} + x \cdot \frac{4}{4} - 1 = 14$

Combine $x$ and $\frac{4}{4}$ .

$\frac{x}{4} + \frac{x \cdot 4}{4} - 1 = 14$

Combine the numerators over the common denominator.

$\frac{x + x \cdot 4}{4} - 1 = 14$

Add $x$ and $x \cdot 4$ .

Reorder $x$ and $4$ .

$\frac{x + 4 \cdot x}{4} - 1 = 14$

Add $x$ and $4 \cdot x$ .

$\frac{5 x}{4} - 1 = 14$

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

Add $1$ to both sides of the equation.

$\frac{5 x}{4} = 14 + 1$

Add $14$ and $1$ .

$\frac{5 x}{4} = 15$

Multiply both sides of the equation by $\frac{4}{5}$ .

$\frac{4}{5} \cdot \frac{5 x}{4} = \frac{4}{5} \cdot 15$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{5} \cdot \frac{5 x}{4}$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{5} \cdot \frac{5 x}{4} = \frac{4}{5} \cdot 15$

Rewrite the expression.

$\frac{1}{5} (5 x) = \frac{4}{5} \cdot 15$

Cancel the common factor of $5$ .

Factor $5$ out of $5 x$ .

$\frac{1}{5} (5 (x)) = \frac{4}{5} \cdot 15$

Cancel the common factor.

$\frac{1}{5} (5 x) = \frac{4}{5} \cdot 15$

Rewrite the expression.

$x = \frac{4}{5} \cdot 15$

Simplify the right side.

Simplify $\frac{4}{5} \cdot 15$ .

Cancel the common factor of $5$ .

Factor $5$ out of $15$ .

$x = \frac{4}{5} \cdot (5 (3))$

Cancel the common factor.

$x = \frac{4}{5} \cdot (5 \cdot 3)$

Rewrite the expression.

$x = 4 \cdot 3$

Multiply $4$ by $3$ .

$x = 12$

Solve for x 1/4(x-4)+x=14

Related Questions

Support LCMGCF.com by disabling your adblocker.