Solve 0.44=x+0.3(500)/x+500

$$0.44 = \frac { x + 0.3 ( 500 ) } { x + 500 }$$

Solve for x

$$x=125$$

Steps for Solving Linear Equation

Variable x cannot be equal to -500 since division by zero is not defined. Multiply both sides of the equation by x+500.

$$0.44\left(x+500\right)=x+0.3\times 500$$

Use the distributive property to multiply 0.44 by x+500.

$$0.44x+220=x+0.3\times 500$$

Multiply 0.3 and 500 to get 150.

$$0.44x+220=x+150$$

Subtract x from both sides.

$$0.44x+220-x=150$$

Combine 0.44x and -x to get -0.56x.

$$-0.56x+220=150$$

Subtract 220 from both sides.

$$-0.56x=150-220$$

Subtract 220 from 150 to get -70.

$$-0.56x=-70$$

Divide both sides by -0.56.

$$x=\frac{-70}{-0.56}$$

Expand \frac{-70}{-0.56} by multiplying both numerator and the denominator by 100.

$$x=\frac{-7000}{-56}$$

Divide -7000 by -56 to get 125.

$$x=125$$