Solve for x 7(x+1)=1-2(5-x)

$7 (x + 1) = 1 - 2 (5 - x)$

Simplify $7 (x + 1)$ .

Rewrite.

$0 + 0 + 7 (x + 1) = 1 - 2 (5 - x)$

Simplify by adding zeros.

$7 (x + 1) = 1 - 2 (5 - x)$

Apply the distributive property.

$7 x + 7 \cdot 1 = 1 - 2 (5 - x)$

Multiply $7$ by $1$ .

$7 x + 7 = 1 - 2 (5 - x)$

Simplify $1 - 2 (5 - x)$ .

Simplify each term.

Apply the distributive property.

$7 x + 7 = 1 - 2 \cdot 5 - 2 (- x)$

Multiply $- 2$ by $5$ .

$7 x + 7 = 1 - 10 - 2 (- x)$

Multiply $- 1$ by $- 2$ .

$7 x + 7 = 1 - 10 + 2 x$

Subtract $10$ from $1$ .

$7 x + 7 = - 9 + 2 x$

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

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

$7 x + 7 - 2 x = - 9$

Subtract $2 x$ from $7 x$ .

$5 x + 7 = - 9$

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

Subtract $7$ from both sides of the equation.

$5 x = - 9 - 7$

Subtract $7$ from $- 9$ .

$5 x = - 16$

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.

Move the negative in front of the fraction.

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

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 7(x+1)=1-2(5-x)

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