Solve (93x+3)div(1+x)=53

$$(93x+3) \div (1+x)=53$$

Solve for x

$$x = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.

$$93x+3=53\left(x+1\right)$$

Use the distributive property to multiply 53 by x+1.

$$93x+3=53x+53$$

Subtract 53x from both sides.

$$93x+3-53x=53$$

Combine 93x and -53x to get 40x.

$$40x+3=53$$

Subtract 3 from both sides.

$$40x=53-3$$

Subtract 3 from 53 to get 50.

$$40x=50$$

Divide both sides by 40.

$$x=\frac{50}{40}$$

Reduce the fraction \frac{50}{40} to lowest terms by extracting and canceling out 10.

$$x=\frac{5}{4}$$