Solve x-(2)/(4)+3x+(2)/(6) | 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

$$x- \frac{ 2 }{ 4 } +3x+ \frac{ 2 }{ 6 }$$

Evaluate

$4x-\frac{1}{6}$

Solution Steps

Reduce the fraction $\frac{2}{4}$ to lowest terms by extracting and canceling out $2$.

$$x-\frac{1}{2}+3x+\frac{2}{6}$$

Combine $x$ and $3x$ to get $4x$.

$$4x-\frac{1}{2}+\frac{2}{6}$$

Reduce the fraction $\frac{2}{6}$ to lowest terms by extracting and canceling out $2$.

$$4x-\frac{1}{2}+\frac{1}{3}$$

Least common multiple of $2$ and $3$ is $6$. Convert $-\frac{1}{2}$ and $\frac{1}{3}$ to fractions with denominator $6$.

$$4x-\frac{3}{6}+\frac{2}{6}$$

Since $-\frac{3}{6}$ and $\frac{2}{6}$ have the same denominator, add them by adding their numerators.

$$4x+\frac{-3+2}{6}$$

Add $-3$ and $2$ to get $-1$.

$$4x-\frac{1}{6}$$

Factor

$\frac{24x-1}{6}$

Solution Steps

Factor out $\frac{1}{6}$.

$$\frac{24x-1}{6}$$

Consider $6x-3+18x+2$. Multiply and combine like terms.

$$24x-1$$

Rewrite the complete factored expression.

$$\frac{24x-1}{6}$$