Solve for X 2(X-3)-3(X-2)=X+2-(X-3)

$2 (X - 3) - 3 (X - 2) = X + 2 - (X - 3)$

Step 1

Simplify $2 (X - 3) - 3 (X - 2)$ .

Rewrite.

$2 (X - 3) - 3 (X - 2) - X + X = X + 2 - (X - 3)$

Simplify by adding terms.

$2 (X - 3) - 3 (X - 2) = X + 2 - (X - 3)$

Simplify each term.

Apply the distributive property.

$2 X + 2 \cdot - 3 - 3 (X - 2) = X + 2 - (X - 3)$

Multiply $2$ by $- 3$ .

$2 X - 6 - 3 (X - 2) = X + 2 - (X - 3)$

Apply the distributive property.

$2 X - 6 - 3 X - 3 \cdot - 2 = X + 2 - (X - 3)$

Multiply $- 3$ by $- 2$ .

$2 X - 6 - 3 X + 6 = X + 2 - (X - 3)$

Simplify by adding terms.

Combine the opposite terms in $2 X - 6 - 3 X + 6$ .

Add $- 6$ and $6$ .

$2 X - 3 X + 0 = X + 2 - (X - 3)$

Add $2 X - 3 X$ and $0$ .

$2 X - 3 X = X + 2 - (X - 3)$

Subtract $3 X$ from $2 X$ .

$- X = X + 2 - (X - 3)$

Step 2

Simplify $X + 2 - (X - 3)$ .

Simplify each term.

Apply the distributive property.

$- X = X + 2 - X - - 3$

Multiply $- 1$ by $- 3$ .

$- X = X + 2 - X + 3$

Simplify by adding terms.

Combine the opposite terms in $X + 2 - X + 3$ .

Subtract $X$ from $X$ .

$- X = 0 + 2 + 3$

Add $0$ and $2$ .

$- X = 2 + 3$

Add $2$ and $3$ .

$- X = 5$

Step 3

Divide each term in $- X = 5$ by $- 1$ and simplify.

Divide each term in $- X = 5$ by $- 1$ .

$\frac{- X}{- 1} = \frac{5}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{X}{1} = \frac{5}{- 1}$

Divide $X$ by $1$ .

$X = \frac{5}{- 1}$

Simplify the right side.

Divide $5$ by $- 1$ .

$X = - 5$

Solve for X 2(X-3)-3(X-2)=X+2-(X-3)

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