Solve 300-5400:(24+x)=200

$$300 - 5400 : ( 24 + x ) = 200$$

Solve for x

$$x=30$$

Steps for Solving Linear Equation

Variable x cannot be equal to -24 since division by zero is not defined. Multiply both sides of the equation by x+24.

$$\left(x+24\right)\times 300-5400=200\left(x+24\right)$$

Use the distributive property to multiply x+24 by 300.

$$300x+7200-5400=200\left(x+24\right)$$

Subtract 5400 from 7200 to get 1800.

$$300x+1800=200\left(x+24\right)$$

Use the distributive property to multiply 200 by x+24.

$$300x+1800=200x+4800$$

Subtract 200x from both sides.

$$300x+1800-200x=4800$$

Combine 300x and -200x to get 100x.

$$100x+1800=4800$$

Subtract 1800 from both sides.

$$100x=4800-1800$$

Subtract 1800 from 4800 to get 3000.

$$100x=3000$$

Divide both sides by 100.

$$x=\frac{3000}{100}$$

Divide 3000 by 100 to get 30.

$$x=30$$