Solve 7+x/11+x=0.80

$$\frac { 7 + x } { 11 + x } = 0.80$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Variable x cannot be equal to -11 since division by zero is not defined. Multiply both sides of the equation by x+11.

$$7+x=0.8\left(x+11\right)$$

Use the distributive property to multiply 0.8 by x+11.

$$7+x=0.8x+8.8$$

Subtract 0.8x from both sides.

$$7+x-0.8x=8.8$$

Combine x and -0.8x to get 0.2x.

$$7+0.2x=8.8$$

Subtract 7 from both sides.

$$0.2x=8.8-7$$

Subtract 7 from 8.8 to get 1.8.

$$0.2x=1.8$$

Divide both sides by 0.2.

$$x=\frac{1.8}{0.2}$$

Expand \frac{1.8}{0.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{18}{2}$$

Divide 18 by 2 to get 9.

$$x=9$$