Solve 7x+2/5x+4=20

$$\frac { 7 x + 2 } { 5 x + 4 } = 20$$

Solve for x

$$x=-\frac{26}{31}\approx -0.838709677$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{4}{5} since division by zero is not defined. Multiply both sides of the equation by 5x+4.

$$7x+2=20\left(5x+4\right)$$

Use the distributive property to multiply 20 by 5x+4.

$$7x+2=100x+80$$

Subtract 100x from both sides.

$$7x+2-100x=80$$

Combine 7x and -100x to get -93x.

$$-93x+2=80$$

Subtract 2 from both sides.

$$-93x=80-2$$

Subtract 2 from 80 to get 78.

$$-93x=78$$

Divide both sides by -93.

$$x=\frac{78}{-93}$$

Reduce the fraction \frac{78}{-93} to lowest terms by extracting and canceling out 3.

$$x=-\frac{26}{31}$$