Solve (8)/(5)-2(-(6)/(5))=4 | 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

$$\frac{ 8 }{ 5 } -2(- \frac{ 6 }{ 5 } )=4$$

Verify

$\text{true}$

Solution Steps

Express $2\left(-\frac{6}{5}\right)$ as a single fraction.

$$\frac{8}{5}-\frac{2\left(-6\right)}{5}=4$$

Multiply $2$ and $-6$ to get $-12$.

$$\frac{8}{5}-\frac{-12}{5}=4$$

Fraction $\frac{-12}{5}$ can be rewritten as $-\frac{12}{5}$ by extracting the negative sign.

$$\frac{8}{5}-\left(-\frac{12}{5}\right)=4$$

The opposite of $-\frac{12}{5}$ is $\frac{12}{5}$.

$$\frac{8}{5}+\frac{12}{5}=4$$

Since $\frac{8}{5}$ and $\frac{12}{5}$ have the same denominator, add them by adding their numerators.

$$\frac{8+12}{5}=4$$

Add $8$ and $12$ to get $20$.

$$\frac{20}{5}=4$$

Divide $20$ by $5$ to get $4$.

$$4=4$$

Compare $4$ and $4$.

$$\text{true}$$