Solve (w - 4)/2 = (w - 3)/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

$$\frac{(w-4)}{2}=\frac{(w-3)}{3}$$

Solve for w

$w=6$

Steps for Solving Linear Equation

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

$$3\left(w-4\right)=2\left(w-3\right)$$

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

$$3w-12=2\left(w-3\right)$$

Use the distributive property to multiply $2$ by $w-3$.

$$3w-12=2w-6$$

Subtract $2w$ from both sides.

$$3w-12-2w=-6$$

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

$$w-12=-6$$

Add $12$ to both sides.

$$w=-6+12$$

Add $-6$ and $12$ to get $6$.

$$w=6$$