Solve (x)/(2)-(x)/(4)=x-9 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{ x }{ 2 } - \frac{ x }{ 4 } =x-9$$

Solve for x

$x=12$

Steps for Solving Linear Equation

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

$$2x-x=4x-36$$

Subtract $4x$ from both sides.

$$2x-x-4x=-36$$

Combine $2x$ and $-4x$ to get $-2x$.

$$-2x-x=-36$$

Combine $-2x$ and $-x$ to get $-3x$.

$$-3x=-36$$

Divide both sides by $-3$.

$$x=\frac{-36}{-3}$$

Divide $-36$ by $-3$ to get $12$.

$$x=12$$