Solve for x 2(x+7)-34=4x-11x+4(x-1)

$2 (x + 7) - 34 = 4 x - 11 x + 4 (x - 1)$

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.

$4 x - 11 x + 4 (x - 1) = 2 (x + 7) - 34$

Step 2

Simplify $4 x - 11 x + 4 (x - 1)$ .

Simplify each term.

Apply the distributive property.

$4 x - 11 x + 4 x + 4 \cdot - 1 = 2 (x + 7) - 34$

Multiply $4$ by $- 1$ .

$4 x - 11 x + 4 x - 4 = 2 (x + 7) - 34$

Simplify by adding terms.

Subtract $11 x$ from $4 x$ .

$- 7 x + 4 x - 4 = 2 (x + 7) - 34$

Add $- 7 x$ and $4 x$ .

$- 3 x - 4 = 2 (x + 7) - 34$

Step 3

Simplify $2 (x + 7) - 34$ .

Simplify each term.

Apply the distributive property.

$- 3 x - 4 = 2 x + 2 \cdot 7 - 34$

Multiply $2$ by $7$ .

$- 3 x - 4 = 2 x + 14 - 34$

Subtract $34$ from $14$ .

$- 3 x - 4 = 2 x - 20$

Step 4

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

Subtract $2 x$ from both sides of the equation.

$- 3 x - 4 - 2 x = - 20$

Subtract $2 x$ from $- 3 x$ .

$- 5 x - 4 = - 20$

Step 5

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

Add $4$ to both sides of the equation.

$- 5 x = - 20 + 4$

Add $- 20$ and $4$ .

$- 5 x = - 16$

Step 6

Divide each term in $- 5 x = - 16$ by $- 5$ and simplify.

Divide each term in $- 5 x = - 16$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{- 16}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{- 16}{- 5}$

Divide $x$ by $1$ .

$x = \frac{- 16}{- 5}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{16}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$x = \frac{16}{5}$

Decimal Form:

$x = 3.2$

Mixed Number Form:

$x = 3 \frac{1}{5}$

Solve for x 2(x+7)-34=4x-11x+4(x-1)

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