Solve for x 3/4x-4=40-2x

$\frac{3}{4} x - 4 = 40 - 2 x$

Step 1

Combine $\frac{3}{4}$ and $x$ .

$\frac{3 x}{4} - 4 = 40 - 2 x$

Step 2

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

Add $2 x$ to both sides of the equation.

$\frac{3 x}{4} - 4 + 2 x = 40$

To write $2 x$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{3 x}{4} + 2 x \cdot \frac{4}{4} - 4 = 40$

Combine $2 x$ and $\frac{4}{4}$ .

$\frac{3 x}{4} + \frac{2 x \cdot 4}{4} - 4 = 40$

Combine the numerators over the common denominator.

$\frac{3 x + 2 x \cdot 4}{4} - 4 = 40$

Simplify each term.

Simplify the numerator.

Factor $x$ out of $3 x + 2 x \cdot 4$ .

Factor $x$ out of $3 x$ .

$\frac{x \cdot 3 + 2 x \cdot 4}{4} - 4 = 40$

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

$\frac{x \cdot 3 + x (2 \cdot 4)}{4} - 4 = 40$

Factor $x$ out of $x \cdot 3 + x (2 \cdot 4)$ .

$\frac{x (3 + 2 \cdot 4)}{4} - 4 = 40$

Multiply $2$ by $4$ .

$\frac{x (3 + 8)}{4} - 4 = 40$

Add $3$ and $8$ .

$\frac{x \cdot 11}{4} - 4 = 40$

Move $11$ to the left of $x$ .

$\frac{11 x}{4} - 4 = 40$

Step 3

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

Add $4$ to both sides of the equation.

$\frac{11 x}{4} = 40 + 4$

Add $40$ and $4$ .

$\frac{11 x}{4} = 44$

Step 4

Multiply both sides of the equation by $\frac{4}{11}$ .

$\frac{4}{11} \cdot \frac{11 x}{4} = \frac{4}{11} \cdot 44$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{11} \cdot \frac{11 x}{4}$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{11} \cdot \frac{11 x}{4} = \frac{4}{11} \cdot 44$

Rewrite the expression.

$\frac{1}{11} (11 x) = \frac{4}{11} \cdot 44$

Cancel the common factor of $11$ .

Factor $11$ out of $11 x$ .

$\frac{1}{11} (11 (x)) = \frac{4}{11} \cdot 44$

Cancel the common factor.

$\frac{1}{11} (11 x) = \frac{4}{11} \cdot 44$

Rewrite the expression.

$x = \frac{4}{11} \cdot 44$

Simplify the right side.

Simplify $\frac{4}{11} \cdot 44$ .

Cancel the common factor of $11$ .

Factor $11$ out of $44$ .

$x = \frac{4}{11} \cdot (11 (4))$

Cancel the common factor.

$x = \frac{4}{11} \cdot (11 \cdot 4)$

Rewrite the expression.

$x = 4 \cdot 4$

Multiply $4$ by $4$ .

$x = 16$

Solve for x 3/4x-4=40-2x

Related Questions

Support LCMGCF.com by disabling your adblocker.