Solve for x 5-(x-4)=3(x+2)

$5 - (x - 4) = 3 (x + 2)$

Step 1

Simplify $5 - (x - 4)$ .

Simplify each term.

Apply the distributive property.

$5 - x - - 4 = 3 (x + 2)$

Multiply $- 1$ by $- 4$ .

$5 - x + 4 = 3 (x + 2)$

Add $5$ and $4$ .

$- x + 9 = 3 (x + 2)$

Step 2

Simplify $3 (x + 2)$ .

Apply the distributive property.

$- x + 9 = 3 x + 3 \cdot 2$

Multiply $3$ by $2$ .

$- x + 9 = 3 x + 6$

Step 3

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

Subtract $3 x$ from both sides of the equation.

$- x + 9 - 3 x = 6$

Subtract $3 x$ from $- x$ .

$- 4 x + 9 = 6$

Step 4

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

Subtract $9$ from both sides of the equation.

$- 4 x = 6 - 9$

Subtract $9$ from $6$ .

$- 4 x = - 3$

Step 5

Divide each term in $- 4 x = - 3$ by $- 4$ and simplify.

Divide each term in $- 4 x = - 3$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{- 3}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{- 3}{- 4}$

Divide $x$ by $1$ .

$x = \frac{- 3}{- 4}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{3}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{4}$

Decimal Form:

$x = 0.75$

Solve for x 5-(x-4)=3(x+2)

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