Solve for x x-(3-x)=7-(x+2)

$x - (3 - x) = 7 - (x + 2)$

Step 1

Simplify $x - (3 - x)$ .

Simplify each term.

Apply the distributive property.

$x - 1 \cdot 3 - - x = 7 - (x + 2)$

Multiply $- 1$ by $3$ .

$x - 3 - - x = 7 - (x + 2)$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$x - 3 + 1 x = 7 - (x + 2)$

Multiply $x$ by $1$ .

$x - 3 + x = 7 - (x + 2)$

Add $x$ and $x$ .

$2 x - 3 = 7 - (x + 2)$

Step 2

Simplify $7 - (x + 2)$ .

Simplify each term.

Apply the distributive property.

$2 x - 3 = 7 - x - 1 \cdot 2$

Multiply $- 1$ by $2$ .

$2 x - 3 = 7 - x - 2$

Subtract $2$ from $7$ .

$2 x - 3 = - x + 5$

Step 3

Move all terms containing $x$ to the left side of the equation.

Add $x$ to both sides of the equation.

$2 x - 3 + x = 5$

Add $2 x$ and $x$ .

$3 x - 3 = 5$

Step 4

Move all terms not containing $x$ to the right side of the equation.

Add $3$ to both sides of the equation.

$3 x = 5 + 3$

Add $5$ and $3$ .

$3 x = 8$

Step 5

Divide each term in $3 x = 8$ by $3$ and simplify.

Divide each term in $3 x = 8$ by $3$ .

$\frac{3 x}{3} = \frac{8}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{8}{3}$

Divide $x$ by $1$ .

$x = \frac{8}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{8}{3}$

Decimal Form:

$x = 2.\overline{6}$

Mixed Number Form:

$x = 2 \frac{2}{3}$

Solve for x x-(3-x)=7-(x+2)

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