Solve 600+x/500+x=11/10

$$\frac { 600 + x } { 500 + x } = \frac { 11 } { 10 }$$

Solve for x

$$x=500$$

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 10\left(x+500\right), the least common multiple of 500+x,10.

$$10\left(600+x\right)=11\left(x+500\right)$$

Use the distributive property to multiply 10 by 600+x.

$$6000+10x=11\left(x+500\right)$$

Use the distributive property to multiply 11 by x+500.

$$6000+10x=11x+5500$$

Subtract 11x from both sides.

$$6000+10x-11x=5500$$

Combine 10x and -11x to get -x.

$$6000-x=5500$$

Subtract 6000 from both sides.

$$-x=5500-6000$$

Subtract 6000 from 5500 to get -500.

$$-x=-500$$

Multiply both sides by -1.

$$x=500$$