How to solve n/2-3n/4+5n/6=21

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

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

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3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

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Question

$$n/2-3n/4+5n/6=21$$

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 $36$.

$$n=36$$

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Question

Solve for n

Steps for Solving Linear Equation