Solve x+38/5=(6+9x)div3

$$\frac{ x+38 }{ 5 } = (6+9x) \div 3$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(x+38\right)=5\left(6+9x\right)$$

Use the distributive property to multiply 3 by x+38.

$$3x+114=5\left(6+9x\right)$$

Use the distributive property to multiply 5 by 6+9x.

$$3x+114=30+45x$$

Subtract 45x from both sides.

$$3x+114-45x=30$$

Combine 3x and -45x to get -42x.

$$-42x+114=30$$

Subtract 114 from both sides.

$$-42x=30-114$$

Subtract 114 from 30 to get -84.

$$-42x=-84$$

Divide both sides by -42.

$$x=\frac{-84}{-42}$$

Divide -84 by -42 to get 2.

$$x=2$$