Solve (2a)/7 + (a - 1)/5 = a/3 + a/7 | 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

$$\frac{2a}{7}+\frac{a-1}{5}=\frac{a}{3}+\frac{a}{7}$$

Solve for a

$a=21$

Steps for Solving Linear Equation

Multiply both sides of the equation by $105$, the least common multiple of $7,5,3$.

$$15\times 2a+21\left(a-1\right)=35a+15a$$

Multiply $15$ and $2$ to get $30$.

$$30a+21\left(a-1\right)=35a+15a$$

Use the distributive property to multiply $21$ by $a-1$.

$$30a+21a-21=35a+15a$$

Combine $30a$ and $21a$ to get $51a$.

$$51a-21=35a+15a$$

Combine $35a$ and $15a$ to get $50a$.

$$51a-21=50a$$

Subtract $50a$ from both sides.

$$51a-21-50a=0$$

Combine $51a$ and $-50a$ to get $a$.

$$a-21=0$$

Add $21$ to both sides. Anything plus zero gives itself.

$$a=21$$