Solve for x 5(x-3)+7(2-x)-4(2x+7)-3x+2=11-8(x-7)+4x-(6-5x)+8-2x

$5 (x - 3) + 7 (2 - x) - 4 (2 x + 7) - 3 x + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Simplify $5 (x - 3) + 7 (2 - x) - 4 (2 x + 7) - 3 x + 2$ .

Simplify each term.

Apply the distributive property.

$5 x + 5 \cdot - 3 + 7 (2 - x) - 4 (2 x + 7) - 3 x + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Multiply $5$ by $- 3$ .

$5 x - 15 + 7 (2 - x) - 4 (2 x + 7) - 3 x + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Apply the distributive property.

$5 x - 15 + 7 \cdot 2 + 7 (- x) - 4 (2 x + 7) - 3 x + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Multiply $7$ by $2$ .

$5 x - 15 + 14 + 7 (- x) - 4 (2 x + 7) - 3 x + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Multiply $- 1$ by $7$ .

$5 x - 15 + 14 - 7 x - 4 (2 x + 7) - 3 x + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Apply the distributive property.

$5 x - 15 + 14 - 7 x - 4 (2 x) - 4 \cdot 7 - 3 x + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Multiply $2$ by $- 4$ .

$5 x - 15 + 14 - 7 x - 8 x - 4 \cdot 7 - 3 x + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Multiply $- 4$ by $7$ .

$5 x - 15 + 14 - 7 x - 8 x - 28 - 3 x + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Simplify by adding terms.

Subtract $7 x$ from $5 x$ .

$- 2 x - 15 + 14 - 8 x - 28 - 3 x + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Subtract $8 x$ from $- 2 x$ .

$- 10 x - 15 + 14 - 28 - 3 x + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Subtract $3 x$ from $- 10 x$ .

$- 13 x - 15 + 14 - 28 + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Simplify by adding and subtracting.

Add $- 15$ and $14$ .

$- 13 x - 1 - 28 + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Subtract $28$ from $- 1$ .

$- 13 x - 29 + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Add $- 29$ and $2$ .

$- 13 x - 27 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$

Simplify $11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$ .

Simplify each term.

Apply the distributive property.

$- 13 x - 27 = 11 - 8 x - 8 \cdot - 7 + 4 x - (6 - 5 x) + 8 - 2 x$

Multiply $- 8$ by $- 7$ .

$- 13 x - 27 = 11 - 8 x + 56 + 4 x - (6 - 5 x) + 8 - 2 x$

Apply the distributive property.

$- 13 x - 27 = 11 - 8 x + 56 + 4 x - 1 \cdot 6 - (- 5 x) + 8 - 2 x$

Multiply $- 1$ by $6$ .

$- 13 x - 27 = 11 - 8 x + 56 + 4 x - 6 - (- 5 x) + 8 - 2 x$

Multiply $- 5$ by $- 1$ .

$- 13 x - 27 = 11 - 8 x + 56 + 4 x - 6 + 5 x + 8 - 2 x$

Simplify by adding terms.

Add $11$ and $56$ .

$- 13 x - 27 = - 8 x + 67 + 4 x - 6 + 5 x + 8 - 2 x$

Add $- 8 x$ and $4 x$ .

$- 13 x - 27 = - 4 x + 67 - 6 + 5 x + 8 - 2 x$

Add $- 4 x$ and $5 x$ .

$- 13 x - 27 = x + 67 - 6 + 8 - 2 x$

Subtract $2 x$ from $x$ .

$- 13 x - 27 = - x + 67 - 6 + 8$

Simplify by adding and subtracting.

Subtract $6$ from $67$ .

$- 13 x - 27 = - x + 61 + 8$

Add $61$ and $8$ .

$- 13 x - 27 = - x + 69$

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

Add $x$ to both sides of the equation.

$- 13 x - 27 + x = 69$

Add $- 13 x$ and $x$ .

$- 12 x - 27 = 69$

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

Add $27$ to both sides of the equation.

$- 12 x = 69 + 27$

Add $69$ and $27$ .

$- 12 x = 96$

Divide each term in $- 12 x = 96$ by $- 12$ and simplify.

Divide each term in $- 12 x = 96$ by $- 12$ .

$\frac{- 12 x}{- 12} = \frac{96}{- 12}$

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

$\frac{- 12 x}{- 12} = \frac{96}{- 12}$

Divide $x$ by $1$ .

$x = \frac{96}{- 12}$

Simplify the right side.

Divide $96$ by $- 12$ .

$x = - 8$

Solve for x 5(x-3)+7(2-x)-4(2x+7)-3x+2=11-8(x-7)+4x-(6-5x)+8-2x

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