Solve 95-x/x-85=4/10

$$\frac { 95 - x } { x - 85 } = \frac { 4 } { 10 }$$

Solve for x

$$x = \frac{645}{7} = 92\frac{1}{7} \approx 92.142857143$$

Steps for Solving Linear Equation

Variable x cannot be equal to 85 since division by zero is not defined. Multiply both sides of the equation by 10\left(x-85\right), the least common multiple of x-85,10.

$$10\left(95-x\right)=\left(x-85\right)\times 4$$

Use the distributive property to multiply 10 by 95-x.

$$950-10x=\left(x-85\right)\times 4$$

Use the distributive property to multiply x-85 by 4.

$$950-10x=4x-340$$

Subtract 4x from both sides.

$$950-10x-4x=-340$$

Combine -10x and -4x to get -14x.

$$950-14x=-340$$

Subtract 950 from both sides.

$$-14x=-340-950$$

Subtract 950 from -340 to get -1290.

$$-14x=-1290$$

Divide both sides by -14.

$$x=\frac{-1290}{-14}$$

Reduce the fraction \frac{-1290}{-14} to lowest terms by extracting and canceling out -2.

$$x=\frac{645}{7}$$