Solve 36 A/2 - (3/4)/4 + (5A)/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

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

Solve for A

$A=36$

Steps for Solving Linear Equation

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

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

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

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

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

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

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

$$-3A+10A=252$$

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

$$7A=252$$

Divide both sides by $7$.

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

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

$$A=36$$