Solve 1.1=x+1.3*40/40+x

$$1.1= \frac{ x+1.3 \times 40 }{ 40+x }$$

Solve for x

$$x=80$$

Steps for Solving Linear Equation

Variable x cannot be equal to -40 since division by zero is not defined. Multiply both sides of the equation by x+40.

$$1.1\left(x+40\right)=x+1.3\times 40$$

Use the distributive property to multiply 1.1 by x+40.

$$1.1x+44=x+1.3\times 40$$

Multiply 1.3 and 40 to get 52.

$$1.1x+44=x+52$$

Subtract x from both sides.

$$1.1x+44-x=52$$

Combine 1.1x and -x to get 0.1x.

$$0.1x+44=52$$

Subtract 44 from both sides.

$$0.1x=52-44$$

Subtract 44 from 52 to get 8.

$$0.1x=8$$

Divide both sides by 0.1.

$$x=\frac{8}{0.1}$$

Expand \frac{8}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$x=80$$