Solve (2a)/(3)-(3)/(2)=(a)/(4)+1 | 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

$$\frac{ 2a }{ 3 } - \frac{ 3 }{ 2 } = \frac{ a }{ 4 } +1$$

Solve for a

$a=6$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $3,2,4$.

$$4\times 2a-18=3a+12$$

Multiply $4$ and $2$ to get $8$.

$$8a-18=3a+12$$

Subtract $3a$ from both sides.

$$8a-18-3a=12$$

Combine $8a$ and $-3a$ to get $5a$.

$$5a-18=12$$

Add $18$ to both sides.

$$5a=12+18$$

Add $12$ and $18$ to get $30$.

$$5a=30$$

Divide both sides by $5$.

$$a=\frac{30}{5}$$

Divide $30$ by $5$ to get $6$.

$$a=6$$