Solve (2n)/3 - (3n)/8 = 7/12 | 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

$$\frac{2n}{3}-\frac{3n}{8}=\frac{7}{12}$$

Solve for n

$n=2$

Steps for Solving Linear Equation

Multiply both sides of the equation by $24$, the least common multiple of $3,8,12$.

$$8\times 2n-3\times 3n=14$$

Multiply $8$ and $2$ to get $16$.

$$16n-3\times 3n=14$$

Multiply $-3$ and $3$ to get $-9$.

$$16n-9n=14$$

Combine $16n$ and $-9n$ to get $7n$.

$$7n=14$$

Divide both sides by $7$.

$$n=\frac{14}{7}$$

Divide $14$ by $7$ to get $2$.

$$n=2$$