Solve for x x-2/5(x-3)-1/5=-3/5x

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

Step 1

Simplify $x - \frac{2}{5} \cdot (x - 3) - \frac{1}{5}$ .

Simplify each term.

Apply the distributive property.

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

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

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

Multiply $- \frac{2}{5} \cdot - 3$ .

Multiply $- 3$ by $- 1$ .

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

Combine $3$ and $\frac{2}{5}$ .

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

Multiply $3$ by $2$ .

$x - \frac{x \cdot 2}{5} + \frac{6}{5} - \frac{1}{5} = - \frac{3}{5} x$

Move $2$ to the left of $x$ .

$x - \frac{2 x}{5} + \frac{6}{5} - \frac{1}{5} = - \frac{3}{5} x$

Combine fractions.

Combine the numerators over the common denominator.

$x + \frac{- 2 x + 6 - 1}{5} = - \frac{3}{5} x$

Subtract $1$ from $6$ .

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

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

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

Simplify terms.

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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

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

Subtract $2 x$ from $5 x$ .

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

Step 2

Simplify $- \frac{3}{5} x$ .

Combine $x$ and $\frac{3}{5}$ .

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

Move $3$ to the left of $x$ .

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

Step 3

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

Add $\frac{3 x}{5}$ to both sides of the equation.

$\frac{3 x + 5}{5} + \frac{3 x}{5} = 0$

Combine the numerators over the common denominator.

$\frac{3 x + 5 + 3 x}{5} = 0$

Add $3 x$ and $3 x$ .

$\frac{6 x + 5}{5} = 0$

Step 4

Set the numerator equal to zero.

$6 x + 5 = 0$

Step 5

Solve the equation for $x$ .

Subtract $5$ from both sides of the equation.

$6 x = - 5$

Divide each term in $6 x = - 5$ by $6$ and simplify.

Divide each term in $6 x = - 5$ by $6$ .

$\frac{6 x}{6} = \frac{- 5}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 5}{6}$

Divide $x$ by $1$ .

$x = \frac{- 5}{6}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{5}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{5}{6}$

Decimal Form:

$x = - 0.8\overline{3}$

Solve for x x-2/5(x-3)-1/5=-3/5x

Related Questions

Support LCMGCF.com by disabling your adblocker.