How to solve x-((x-2))/(3)=2

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve x-((x-2))/(3)=2 | Equatix

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Question

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

Solve for x

$x=2$

Steps for Solving Linear Equation

Multiply both sides of the equation by $3$.

$$3x-\left(x-2\right)=6$$

To find the opposite of $x-2$, find the opposite of each term.

$$3x-x-\left(-2\right)=6$$

The opposite of $-2$ is $2$.

$$3x-x+2=6$$

Combine $3x$ and $-x$ to get $2x$.

$$2x+2=6$$

Subtract $2$ from both sides.

$$2x=6-2$$

Subtract $2$ from $6$ to get $4$.

$$2x=4$$

Divide both sides by $2$.

$$x=\frac{4}{2}$$

Divide $4$ by $2$ to get $2$.

$$x=2$$

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Question

Solve for x

Steps for Solving Linear Equation