Solve (x - 3)/2 = (x - 2)/3 E | 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

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

Solve for x

$x=5$

Steps for Solving Linear Equation

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

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

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

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

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

$$3x-9=2x-4$$

Subtract $2x$ from both sides.

$$3x-9-2x=-4$$

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

$$x-9=-4$$

Add $9$ to both sides.

$$x=-4+9$$

Add $-4$ and $9$ to get $5$.

$$x=5$$