Solve 950+x/1000+x=75/100

$$\frac { 950 + x } { 1000 + x } = \frac { 75 } { 100 }$$

Solve for x

$$x=-800$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1000 since division by zero is not defined. Multiply both sides of the equation by 100\left(x+1000\right), the least common multiple of 1000+x,100.

$$100\left(950+x\right)=\left(x+1000\right)\times 75$$

Use the distributive property to multiply 100 by 950+x.

$$95000+100x=\left(x+1000\right)\times 75$$

Use the distributive property to multiply x+1000 by 75.

$$95000+100x=75x+75000$$

Subtract 75x from both sides.

$$95000+100x-75x=75000$$

Combine 100x and -75x to get 25x.

$$95000+25x=75000$$

Subtract 95000 from both sides.

$$25x=75000-95000$$

Subtract 95000 from 75000 to get -20000.

$$25x=-20000$$

Divide both sides by 25.

$$x=\frac{-20000}{25}$$

Divide -20000 by 25 to get -800.

$$x=-800$$