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

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

Solve for x

$x=11$

Steps for Solving Linear Equation

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

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

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

$$3x-9=2\left(x+1\right)$$

Use the distributive property to multiply $2$ by $x+1$.

$$3x-9=2x+2$$

Subtract $2x$ from both sides.

$$3x-9-2x=2$$

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

$$x-9=2$$

Add $9$ to both sides.

$$x=2+9$$

Add $2$ and $9$ to get $11$.

$$x=11$$