Solve 0.2/40+2x=0.376/2left(108+xright)

$$\frac{ 0.2 }{ 40+2x } = \frac{ 0.376 }{ 2 \left( 108+x \right) }$$

Solve for x

$$x=80$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -108,-20 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+20\right)\left(x+108\right), the least common multiple of 40+2x,2\left(108+x\right).

$$\left(x+108\right)\times 0.2=\left(x+20\right)\times 0.376$$

Use the distributive property to multiply x+108 by 0.2.

$$0.2x+21.6=\left(x+20\right)\times 0.376$$

Use the distributive property to multiply x+20 by 0.376.

$$0.2x+21.6=0.376x+7.52$$

Subtract 0.376x from both sides.

$$0.2x+21.6-0.376x=7.52$$

Combine 0.2x and -0.376x to get -0.176x.

$$-0.176x+21.6=7.52$$

Subtract 21.6 from both sides.

$$-0.176x=7.52-21.6$$

Subtract 21.6 from 7.52 to get -14.08.

$$-0.176x=-14.08$$

Divide both sides by -0.176.

$$x=\frac{-14.08}{-0.176}$$

Expand \frac{-14.08}{-0.176} by multiplying both numerator and the denominator by 1000.

$$x=\frac{-14080}{-176}$$

Divide -14080 by -176 to get 80.

$$x=80$$