Solve x/3770+x=10

$$\frac { x } { 3770 + x } = 10$$

Solve for x

$$x = -\frac{37700}{9} = -4188\frac{8}{9} \approx -4188.888888889$$

Steps for Solving Linear Equation

Variable x cannot be equal to -3770 since division by zero is not defined. Multiply both sides of the equation by x+3770.

$$x=10\left(x+3770\right)$$

Use the distributive property to multiply 10 by x+3770.

$$x=10x+37700$$

Subtract 10x from both sides.

$$x-10x=37700$$

Combine x and -10x to get -9x.

$$-9x=37700$$

Divide both sides by -9.

$$x=\frac{37700}{-9}$$

Fraction \frac{37700}{-9} can be rewritten as -\frac{37700}{9} by extracting the negative sign.

$$x=-\frac{37700}{9}$$