Solve a + a/2 + 3 = (3a)/4 + 9 | 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

$$a+\frac{a}{2}+3=\frac{3a}{4}+9$$

Solve for a

$a=8$

Steps for Solving Linear Equation

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

$$4a+2a+12=3a+36$$

Combine $4a$ and $2a$ to get $6a$.

$$6a+12=3a+36$$

Subtract $3a$ from both sides.

$$6a+12-3a=36$$

Combine $6a$ and $-3a$ to get $3a$.

$$3a+12=36$$

Subtract $12$ from both sides.

$$3a=36-12$$

Subtract $12$ from $36$ to get $24$.

$$3a=24$$

Divide both sides by $3$.

$$a=\frac{24}{3}$$

Divide $24$ by $3$ to get $8$.

$$a=8$$