Solve (x + 1)/2 - (x + 2)/3 = 6 | 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

$$\frac{x+1}{2}-\frac{x+2}{3}=6$$

Solve for x

$x=37$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $2,3$.

$$3\left(x+1\right)-2\left(x+2\right)=36$$

Use the distributive property to multiply $3$ by $x+1$.

$$3x+3-2\left(x+2\right)=36$$

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

$$3x+3-2x-4=36$$

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

$$x+3-4=36$$

Subtract $4$ from $3$ to get $-1$.

$$x-1=36$$

Add $1$ to both sides.

$$x=36+1$$

Add $36$ and $1$ to get $37$.

$$x=37$$