Solve for x -(-2x+1)=9-14x

$- (- 2 x + 1) = 9 - 14 x$

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

Rewrite.

$0 + 0 - (- 2 x + 1) = 9 - 14 x$

Simplify by adding zeros.

$- (- 2 x + 1) = 9 - 14 x$

Apply the distributive property.

$- (- 2 x) - 1 \cdot 1 = 9 - 14 x$

Multiply.

Multiply $- 2$ by $- 1$ .

$2 x - 1 \cdot 1 = 9 - 14 x$

Multiply $- 1$ by $1$ .

$2 x - 1 = 9 - 14 x$

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

Add $14 x$ to both sides of the equation.

$2 x - 1 + 14 x = 9$

Add $2 x$ and $14 x$ .

$16 x - 1 = 9$

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

Add $1$ to both sides of the equation.

$16 x = 9 + 1$

Add $9$ and $1$ .

$16 x = 10$

Divide each term in $16 x = 10$ by $16$ and simplify.

Divide each term in $16 x = 10$ by $16$ .

$\frac{16 x}{16} = \frac{10}{16}$

Simplify the left side.

Cancel the common factor of $16$ .

Cancel the common factor.

$\frac{16 x}{16} = \frac{10}{16}$

Divide $x$ by $1$ .

$x = \frac{10}{16}$

Simplify the right side.

Cancel the common factor of $10$ and $16$ .

Factor $2$ out of $10$ .

$x = \frac{2 (5)}{16}$

Cancel the common factors.

Factor $2$ out of $16$ .

$x = \frac{2 \cdot 5}{2 \cdot 8}$

Cancel the common factor.

$x = \frac{2 \cdot 5}{2 \cdot 8}$

Rewrite the expression.

$x = \frac{5}{8}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5}{8}$

Decimal Form:

$x = 0.625$

Solve for x -(-2x+1)=9-14x

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