Solve 882+x/1042+x=.847

$$\frac { 882 + x } { 1042 + x } = .847$$

Solve for x

$$x = \frac{574}{153} = 3\frac{115}{153} \approx 3.751633987$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1042 since division by zero is not defined. Multiply both sides of the equation by x+1042.

$$882+x=0.847\left(x+1042\right)$$

Use the distributive property to multiply 0.847 by x+1042.

$$882+x=0.847x+882.574$$

Subtract 0.847x from both sides.

$$882+x-0.847x=882.574$$

Combine x and -0.847x to get 0.153x.

$$882+0.153x=882.574$$

Subtract 882 from both sides.

$$0.153x=882.574-882$$

Subtract 882 from 882.574 to get 0.574.

$$0.153x=0.574$$

Divide both sides by 0.153.

$$x=\frac{0.574}{0.153}$$

Expand \frac{0.574}{0.153} by multiplying both numerator and the denominator by 1000.

$$x=\frac{574}{153}$$