Solve (a+1)/(3)+(2a-3)/(5)=10 | 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

$$\frac{ a+1 }{ 3 } + \frac{ 2a-3 }{ 5 } =10$$

Solve for a

$a=14$

Steps for Solving Linear Equation

Multiply both sides of the equation by $15$, the least common multiple of $3,5$.

$$5\left(a+1\right)+3\left(2a-3\right)=150$$

Use the distributive property to multiply $5$ by $a+1$.

$$5a+5+3\left(2a-3\right)=150$$

Use the distributive property to multiply $3$ by $2a-3$.

$$5a+5+6a-9=150$$

Combine $5a$ and $6a$ to get $11a$.

$$11a+5-9=150$$

Subtract $9$ from $5$ to get $-4$.

$$11a-4=150$$

Add $4$ to both sides.

$$11a=150+4$$

Add $150$ and $4$ to get $154$.

$$11a=154$$

Divide both sides by $11$.

$$a=\frac{154}{11}$$

Divide $154$ by $11$ to get $14$.

$$a=14$$