Solve n - (n - 2)/3 = 1 - (n - 1)/2 | 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

$$n-\frac{n-2}{3}=1-\frac{n-1}{2}$$

Solve for n

$n=\frac{5}{7}\approx 0.714285714$

Steps for Solving Linear Equation

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

$$6n-2\left(n-2\right)=6-3\left(n-1\right)$$

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

$$6n-2n+4=6-3\left(n-1\right)$$

Combine $6n$ and $-2n$ to get $4n$.

$$4n+4=6-3\left(n-1\right)$$

Use the distributive property to multiply $-3$ by $n-1$.

$$4n+4=6-3n+3$$

Add $6$ and $3$ to get $9$.

$$4n+4=9-3n$$

Add $3n$ to both sides.

$$4n+4+3n=9$$

Combine $4n$ and $3n$ to get $7n$.

$$7n+4=9$$

Subtract $4$ from both sides.

$$7n=9-4$$

Subtract $4$ from $9$ to get $5$.

$$7n=5$$

Divide both sides by $7$.

$$n=\frac{5}{7}$$