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

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

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

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

Step 2

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

Simplify each term.

Apply the distributive property.

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

Multiply $3$ by $- 2$ .

$3 x - 6 - 2 (x + 2) = 4 (x + 5)$

Apply the distributive property.

$3 x - 6 - 2 x - 2 \cdot 2 = 4 (x + 5)$

Multiply $- 2$ by $2$ .

$3 x - 6 - 2 x - 4 = 4 (x + 5)$

Simplify by adding terms.

Subtract $2 x$ from $3 x$ .

$x - 6 - 4 = 4 (x + 5)$

Subtract $4$ from $- 6$ .

$x - 10 = 4 (x + 5)$

Step 3

Simplify $4 (x + 5)$ .

Apply the distributive property.

$x - 10 = 4 x + 4 \cdot 5$

Multiply $4$ by $5$ .

$x - 10 = 4 x + 20$

Step 4

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

Subtract $4 x$ from both sides of the equation.

$x - 10 - 4 x = 20$

Subtract $4 x$ from $x$ .

$- 3 x - 10 = 20$

Step 5

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

Add $10$ to both sides of the equation.

$- 3 x = 20 + 10$

Add $20$ and $10$ .

$- 3 x = 30$

Step 6

Divide each term in $- 3 x = 30$ by $- 3$ and simplify.

Divide each term in $- 3 x = 30$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{30}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{30}{- 3}$

Divide $x$ by $1$ .

$x = \frac{30}{- 3}$

Simplify the right side.

Divide $30$ by $- 3$ .

$x = - 10$

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

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