Solve (x+2)/(3)-(x-4)/(4)=5/12 | 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

$$\frac{ x+2 }{ 3 } - \frac{ x-4 }{ 4 } =5/12$$

Solve for x

$x=-15$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $3,4,12$.

$$4\left(x+2\right)-3\left(x-4\right)=5$$

Use the distributive property to multiply $4$ by $x+2$.

$$4x+8-3\left(x-4\right)=5$$

Use the distributive property to multiply $-3$ by $x-4$.

$$4x+8-3x+12=5$$

Combine $4x$ and $-3x$ to get $x$.

$$x+8+12=5$$

Add $8$ and $12$ to get $20$.

$$x+20=5$$

Subtract $20$ from both sides.

$$x=5-20$$

Subtract $20$ from $5$ to get $-15$.

$$x=-15$$