Solve n/2 - (3n)/4 + (5n)/6 = 21 | 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

$$\frac { n } { 2 } - \frac { 3 n } { 4 } + \frac { 5 n } { 6 } = 21$$

Solve for n

$n=36$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $2,4,6$.

$$6n-3\times 3n+2\times 5n=252$$

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

$$6n-9n+2\times 5n=252$$

Combine $6n$ and $-9n$ to get $-3n$.

$$-3n+2\times 5n=252$$

Multiply $2$ and $5$ to get $10$.

$$-3n+10n=252$$

Combine $-3n$ and $10n$ to get $7n$.

$$7n=252$$

Divide both sides by $7$.

$$n=\frac{252}{7}$$

Divide $252$ by $7$ to get $36$.

$$n=36$$