Solve x+4(600+x/6)=3000

$$x + 4 ( 600 + \frac { x } { 6 } ) = 3000$$

Solve for x

$$x=360$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$6x+24\left(600+\frac{x}{6}\right)=18000$$

Use the distributive property to multiply 24 by 600+\frac{x}{6}.

$$6x+14400+24\times \frac{x}{6}=18000$$

Cancel out 6, the greatest common factor in 24 and 6.

$$6x+14400+4x=18000$$

Combine 6x and 4x to get 10x.

$$10x+14400=18000$$

Subtract 14400 from both sides.

$$10x=18000-14400$$

Subtract 14400 from 18000 to get 3600.

$$10x=3600$$

Divide both sides by 10.

$$x=\frac{3600}{10}$$

Divide 3600 by 10 to get 360.

$$x=360$$