Solve 0.004(x1+100)=x1

$$0.004(x1+100)=x1$$

Solve for x_1

$$x_{1}=\frac{100}{249}\approx 0.401606426$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.004 by x_{1}+100.

$$0.004x_{1}+0.4=x_{1}$$

Subtract x_{1} from both sides.

$$0.004x_{1}+0.4-x_{1}=0$$

Combine 0.004x_{1} and -x_{1} to get -0.996x_{1}.

$$-0.996x_{1}+0.4=0$$

Subtract 0.4 from both sides. Anything subtracted from zero gives its negation.

$$-0.996x_{1}=-0.4$$

Divide both sides by -0.996.

$$x_{1}=\frac{-0.4}{-0.996}$$

Expand \frac{-0.4}{-0.996} by multiplying both numerator and the denominator by 1000.

$$x_{1}=\frac{-400}{-996}$$

Reduce the fraction \frac{-400}{-996} to lowest terms by extracting and canceling out -4.

$$x_{1}=\frac{100}{249}$$