Solve x/4+9x/4+3x/2=x-30

$$\frac{ x }{ 4 } + \frac{ 9x }{ 4 } + \frac{ 3x }{ 2 } = x-30$$

Solve for x

$$x=-10$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 4,2.

$$x+9x+2\times 3x=4x-120$$

Combine x and 9x to get 10x.

$$10x+2\times 3x=4x-120$$

Multiply 2 and 3 to get 6.

$$10x+6x=4x-120$$

Combine 10x and 6x to get 16x.

$$16x=4x-120$$

Subtract 4x from both sides.

$$16x-4x=-120$$

Combine 16x and -4x to get 12x.

$$12x=-120$$

Divide both sides by 12.

$$x=\frac{-120}{12}$$

Divide -120 by 12 to get -10.

$$x=-10$$