Solve for x 4/5*(x-1)+3/5x=2

$\frac{4}{5} \cdot (x - 1) + \frac{3}{5} x = 2$

Step 1

Simplify $\frac{4}{5} \cdot (x - 1) + \frac{3}{5} x$ .

Simplify each term.

Apply the distributive property.

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

Combine $\frac{4}{5}$ and $x$ .

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

Multiply $\frac{4}{5} \cdot - 1$ .

Combine $\frac{4}{5}$ and $- 1$ .

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

Multiply $4$ by $- 1$ .

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

Move the negative in front of the fraction.

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

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

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

Simplify terms.

Combine the numerators over the common denominator.

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

Add $4 x$ and $3 x$ .

$\frac{7 x - 4}{5} = 2$

Step 2

Multiply both sides by $5$ .

$\frac{7 x - 4}{5} \cdot 5 = 2 \cdot 5$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{7 x - 4}{5} \cdot 5 = 2 \cdot 5$

Rewrite the expression.

$7 x - 4 = 2 \cdot 5$

Simplify the right side.

Multiply $2$ by $5$ .

$7 x - 4 = 10$

Step 4

Solve for $x$ .

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

Add $4$ to both sides of the equation.

$7 x = 10 + 4$

Add $10$ and $4$ .

$7 x = 14$

Divide each term in $7 x = 14$ by $7$ and simplify.

Divide each term in $7 x = 14$ by $7$ .

$\frac{7 x}{7} = \frac{14}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{14}{7}$

Divide $x$ by $1$ .

$x = \frac{14}{7}$

Simplify the right side.

Divide $14$ by $7$ .

$x = 2$

Solve for x 4/5*(x-1)+3/5x=2

Related Questions

Support LCMGCF.com by disabling your adblocker.