Solve for x 7/8x-1/2=3/16x+5

$\frac{7}{8} x - \frac{1}{2} = \frac{3}{16} x + 5$

Combine $\frac{7}{8}$ and $x$ .

$\frac{7 x}{8} - \frac{1}{2} = \frac{3}{16} x + 5$

Combine $\frac{3}{16}$ and $x$ .

$\frac{7 x}{8} - \frac{1}{2} = \frac{3 x}{16} + 5$

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

Subtract $\frac{3 x}{16}$ from both sides of the equation.

$\frac{7 x}{8} - \frac{1}{2} - \frac{3 x}{16} = 5$

To write $\frac{7 x}{8}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{7 x}{8} \cdot \frac{2}{2} - \frac{3 x}{16} - \frac{1}{2} = 5$

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{7 x}{8}$ by $\frac{2}{2}$ .

$\frac{7 x \cdot 2}{8 \cdot 2} - \frac{3 x}{16} - \frac{1}{2} = 5$

Multiply $8$ by $2$ .

$\frac{7 x \cdot 2}{16} - \frac{3 x}{16} - \frac{1}{2} = 5$

Combine the numerators over the common denominator.

$\frac{7 x \cdot 2 - 3 x}{16} - \frac{1}{2} = 5$

Simplify each term.

Simplify the numerator.

Factor $x$ out of $7 x \cdot 2 - 3 x$ .

Factor $x$ out of $7 x \cdot 2$ .

$\frac{x (7 \cdot 2) - 3 x}{16} - \frac{1}{2} = 5$

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

$\frac{x (7 \cdot 2) + x \cdot - 3}{16} - \frac{1}{2} = 5$

Factor $x$ out of $x (7 \cdot 2) + x \cdot - 3$ .

$\frac{x (7 \cdot 2 - 3)}{16} - \frac{1}{2} = 5$

Multiply $7$ by $2$ .

$\frac{x (14 - 3)}{16} - \frac{1}{2} = 5$

Subtract $3$ from $14$ .

$\frac{x \cdot 11}{16} - \frac{1}{2} = 5$

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

$\frac{11 x}{16} - \frac{1}{2} = 5$

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

Add $\frac{1}{2}$ to both sides of the equation.

$\frac{11 x}{16} = 5 + \frac{1}{2}$

To write $5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{11 x}{16} = 5 \cdot \frac{2}{2} + \frac{1}{2}$

Combine $5$ and $\frac{2}{2}$ .

$\frac{11 x}{16} = \frac{5 \cdot 2}{2} + \frac{1}{2}$

Combine the numerators over the common denominator.

$\frac{11 x}{16} = \frac{5 \cdot 2 + 1}{2}$

Simplify the numerator.

Multiply $5$ by $2$ .

$\frac{11 x}{16} = \frac{10 + 1}{2}$

Add $10$ and $1$ .

$\frac{11 x}{16} = \frac{11}{2}$

Multiply both sides of the equation by $\frac{16}{11}$ .

$\frac{16}{11} \cdot \frac{11 x}{16} = \frac{16}{11} \cdot \frac{11}{2}$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{16}{11} \cdot \frac{11 x}{16}$ .

Cancel the common factor of $16$ .

Cancel the common factor.

$\frac{16}{11} \cdot \frac{11 x}{16} = \frac{16}{11} \cdot \frac{11}{2}$

Rewrite the expression.

$\frac{1}{11} (11 x) = \frac{16}{11} \cdot \frac{11}{2}$

Cancel the common factor of $11$ .

Factor $11$ out of $11 x$ .

$\frac{1}{11} (11 (x)) = \frac{16}{11} \cdot \frac{11}{2}$

Cancel the common factor.

$\frac{1}{11} (11 x) = \frac{16}{11} \cdot \frac{11}{2}$

Rewrite the expression.

$x = \frac{16}{11} \cdot \frac{11}{2}$

Simplify the right side.

Simplify $\frac{16}{11} \cdot \frac{11}{2}$ .

Cancel the common factor of $2$ .

Factor $2$ out of $16$ .

$x = \frac{2 (8)}{11} \cdot \frac{11}{2}$

Cancel the common factor.

$x = \frac{2 \cdot 8}{11} \cdot \frac{11}{2}$

Rewrite the expression.

$x = \frac{8}{11} \cdot 11$

Cancel the common factor of $11$ .

Cancel the common factor.

$x = \frac{8}{11} \cdot 11$

Rewrite the expression.

$x = 8$

Solve for x 7/8x-1/2=3/16x+5

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