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

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

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

$(2 x - 1) \cdot 5 = (x + 2) \cdot 4$

Solve the equation for $x$ .

Tap for more steps...

Simplify $(2 x - 1) \cdot 5$ .

Tap for more steps...

Apply the distributive property.

$2 x \cdot 5 - 1 \cdot 5 = (x + 2) \cdot 4$

Multiply.

Tap for more steps...

Multiply $5$ by $2$ .

$10 x - 1 \cdot 5 = (x + 2) \cdot 4$

Multiply $- 1$ by $5$ .

$10 x - 5 = (x + 2) \cdot 4$

Simplify $(x + 2) \cdot 4$ .

Tap for more steps...

Apply the distributive property.

$10 x - 5 = x \cdot 4 + 2 \cdot 4$

Simplify the expression.

Tap for more steps...

Move $4$ to the left of $x$ .

$10 x - 5 = 4 \cdot x + 2 \cdot 4$

Multiply $2$ by $4$ .

$10 x - 5 = 4 x + 8$

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

Tap for more steps...

Subtract $4 x$ from both sides of the equation.

$10 x - 5 - 4 x = 8$

Subtract $4 x$ from $10 x$ .

$6 x - 5 = 8$

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

Tap for more steps...

Add $5$ to both sides of the equation.

$6 x = 8 + 5$

Add $8$ and $5$ .

$6 x = 13$

Divide each term by $6$ and simplify.

Tap for more steps...

Divide each term in $6 x = 13$ by $6$ .

$\frac{6 x}{6} = \frac{13}{6}$

Cancel the common factor of $6$ .

Tap for more steps...

Cancel the common factor.

$\frac{6 x}{6} = \frac{13}{6}$

Divide $x$ by $1$ .

$x = \frac{13}{6}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{13}{6}$

Decimal Form:

$x = 2.1\overline{6}$

Mixed Number Form:

$x = 2 \frac{1}{6}$

Do you need help with solving Solve for x (2x-1)/(x+2)=4/5? We can help you. You can write to our math experts in our application. The best solution for you is above on this page.

Find the Domain x/( square root of x-6)

Simplify tan(x-pi/2)

Graph f(x)=(x^2-4x)/(x^2-9)

Find the Asymptotes f(x)=(2x^2+1)/x

Solve for x -xe^(-x)+e^(-x)=0

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

100% Correct Answer from a Real Math Expert