Solve (2x)/3 - 1/3 * x + 2/3 = 1/3 * (x + 2) | 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

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

Solve for x (complex solution)

$x\in \mathrm{C}$

Solution Steps

Multiply both sides of the equation by $3$.

$$2x-x+2=1\left(x+2\right)$$

Combine $2x$ and $-x$ to get $x$.

$$x+2=1\left(x+2\right)$$

Use the distributive property to multiply $1$ by $x+2$.

$$x+2=x+2$$

Subtract $x$ from both sides.

$$x+2-x=2$$

Combine $x$ and $-x$ to get $0$.

$$2=2$$

Compare $2$ and $2$.

$$\text{true}$$

This is true for any $x$.

$$x\in \mathrm{C}$$

Solve for x

$x\in \mathrm{R}$

Solution Steps

Multiply both sides of the equation by $3$.

$$2x-x+2=1\left(x+2\right)$$

Combine $2x$ and $-x$ to get $x$.

$$x+2=1\left(x+2\right)$$

Use the distributive property to multiply $1$ by $x+2$.

$$x+2=x+2$$

Subtract $x$ from both sides.

$$x+2-x=2$$

Combine $x$ and $-x$ to get $0$.

$$2=2$$

Compare $2$ and $2$.

$$\text{true}$$

This is true for any $x$.

$$x\in \mathrm{R}$$