Solve for x 2x-1=3/4x+9

$2 x - 1 = \frac{3}{4} x + 9$

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

$2 x - 1 = \frac{3 x}{4} + 9$

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

Subtract $\frac{3 x}{4}$ from both sides of the equation.

$2 x - 1 - \frac{3 x}{4} = 9$

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

$2 x \cdot \frac{4}{4} - \frac{3 x}{4} - 1 = 9$

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

$\frac{2 x \cdot 4}{4} - \frac{3 x}{4} - 1 = 9$

Combine the numerators over the common denominator.

$\frac{2 x \cdot 4 - 3 x}{4} - 1 = 9$

Simplify each term.

Simplify the numerator.

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

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

$\frac{x (2 \cdot 4) - 3 x}{4} - 1 = 9$

Factor $x$ out of $- 3 x$ .

$\frac{x (2 \cdot 4) + x \cdot - 3}{4} - 1 = 9$

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

$\frac{x (2 \cdot 4 - 3)}{4} - 1 = 9$

Multiply $2$ by $4$ .

$\frac{x (8 - 3)}{4} - 1 = 9$

Subtract $3$ from $8$ .

$\frac{x \cdot 5}{4} - 1 = 9$

Move $5$ to the left of $x$ .

$\frac{5 x}{4} - 1 = 9$

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

Add $1$ to both sides of the equation.

$\frac{5 x}{4} = 9 + 1$

Add $9$ and $1$ .

$\frac{5 x}{4} = 10$

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

$\frac{4}{5} \cdot \frac{5 x}{4} = \frac{4}{5} \cdot 10$

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.

$\frac{4}{5} \cdot \frac{5 x}{4} = \frac{4}{5} \cdot 10$

Rewrite the expression.

$\frac{1}{5} (5 x) = \frac{4}{5} \cdot 10$

Cancel the common factor of $5$ .

Factor $5$ out of $5 x$ .

$\frac{1}{5} (5 (x)) = \frac{4}{5} \cdot 10$

Cancel the common factor.

$\frac{1}{5} (5 x) = \frac{4}{5} \cdot 10$

Rewrite the expression.

$x = \frac{4}{5} \cdot 10$

Simplify the right side.

Simplify $\frac{4}{5} \cdot 10$ .

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

$x = \frac{4}{5} \cdot (5 (2))$

Cancel the common factor.

$x = \frac{4}{5} \cdot (5 \cdot 2)$

Rewrite the expression.

$x = 4 \cdot 2$

Multiply $4$ by $2$ .

$x = 8$

Solve for x 2x-1=3/4x+9

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