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

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

Evaluate

$\frac{5x+1}{3}$

Short Solution Steps

Divide each term of $2x+2$ by $2$ to get $1+x$.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply $1+x$ times $\frac{3}{3}$.

$$\frac{3\left(1+x\right)}{3}+\frac{2x-2}{3}$$

Since $\frac{3\left(1+x\right)}{3}$ and $\frac{2x-2}{3}$ have the same denominator, add them by adding their numerators.

$$\frac{3\left(1+x\right)+2x-2}{3}$$

Do the multiplications in $3\left(1+x\right)+2x-2$.

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

Combine like terms in $3+3x+2x-2$.

$$\frac{1+5x}{3}$$

Expand

$\frac{5x+1}{3}$

Short Solution Steps

Divide each term of $2x+2$ by $2$ to get $1+x$.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply $1+x$ times $\frac{3}{3}$.

$$\frac{3\left(1+x\right)}{3}+\frac{2x-2}{3}$$

Since $\frac{3\left(1+x\right)}{3}$ and $\frac{2x-2}{3}$ have the same denominator, add them by adding their numerators.

$$\frac{3\left(1+x\right)+2x-2}{3}$$

Do the multiplications in $3\left(1+x\right)+2x-2$.

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

Combine like terms in $3+3x+2x-2$.

$$\frac{1+5x}{3}$$