Solve for x -4/5=1/2x-3/4

$- \frac{4}{5} = \frac{1}{2} x - \frac{3}{4}$

Rewrite the equation as $\frac{1}{2} x - \frac{3}{4} = - \frac{4}{5}$ .

$\frac{1}{2} x - \frac{3}{4} = - \frac{4}{5}$

Combine $\frac{1}{2}$ and $x$ .

$\frac{x}{2} - \frac{3}{4} = - \frac{4}{5}$

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

Add $\frac{3}{4}$ to both sides of the equation.

$\frac{x}{2} = - \frac{4}{5} + \frac{3}{4}$

To write $- \frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{x}{2} = - \frac{4}{5} \cdot \frac{4}{4} + \frac{3}{4}$

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{x}{2} = - \frac{4}{5} \cdot \frac{4}{4} + \frac{3}{4} \cdot \frac{5}{5}$

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{4}{5}$ by $\frac{4}{4}$ .

$\frac{x}{2} = - \frac{4 \cdot 4}{5 \cdot 4} + \frac{3}{4} \cdot \frac{5}{5}$

Multiply $5$ by $4$ .

$\frac{x}{2} = - \frac{4 \cdot 4}{20} + \frac{3}{4} \cdot \frac{5}{5}$

Multiply $\frac{3}{4}$ by $\frac{5}{5}$ .

$\frac{x}{2} = - \frac{4 \cdot 4}{20} + \frac{3 \cdot 5}{4 \cdot 5}$

Multiply $4$ by $5$ .

$\frac{x}{2} = - \frac{4 \cdot 4}{20} + \frac{3 \cdot 5}{20}$

Combine the numerators over the common denominator.

$\frac{x}{2} = \frac{- 4 \cdot 4 + 3 \cdot 5}{20}$

Simplify the numerator.

Multiply $- 4$ by $4$ .

$\frac{x}{2} = \frac{- 16 + 3 \cdot 5}{20}$

Multiply $3$ by $5$ .

$\frac{x}{2} = \frac{- 16 + 15}{20}$

Add $- 16$ and $15$ .

$\frac{x}{2} = \frac{- 1}{20}$

Move the negative in front of the fraction.

$\frac{x}{2} = - \frac{1}{20}$

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 (- \frac{1}{20})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{x}{2} = 2 (- \frac{1}{20})$

Rewrite the expression.

$x = 2 (- \frac{1}{20})$

Simplify the right side.

Simplify $2 (- \frac{1}{20})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{1}{20}$ into the numerator.

$x = 2 (\frac{- 1}{20})$

Factor $2$ out of $20$ .

$x = 2 \frac{- 1}{2 (10)}$

Cancel the common factor.

$x = 2 \frac{- 1}{2 \cdot 10}$

Rewrite the expression.

$x = \frac{- 1}{10}$

Move the negative in front of the fraction.

$x = - \frac{1}{10}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{10}$

Decimal Form:

$x = - 0.1$

Solve for x -4/5=1/2x-3/4

Related Questions

Support LCMGCF.com by disabling your adblocker.