Solve 8x+25-(4x+49)/x=5

$$\frac{ 8x+25-(4x+49) }{ x } =5$$

Solve for x

$$x=-24$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$8x+25-\left(4x+49\right)=5x$$

To find the opposite of 4x+49, find the opposite of each term.

$$8x+25-4x-49=5x$$

Combine 8x and -4x to get 4x.

$$4x+25-49=5x$$

Subtract 49 from 25 to get -24.

$$4x-24=5x$$

Subtract 5x from both sides.

$$4x-24-5x=0$$

Combine 4x and -5x to get -x.

$$-x-24=0$$

Add 24 to both sides. Anything plus zero gives itself.

$$-x=24$$

Multiply both sides by -1.

$$x=-24$$