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

$- (2 x + 1) - \frac{1}{2} = \frac{1}{2} - (5 x - 1)$

Simplify $- (2 x + 1) - \frac{1}{2}$ .

Simplify each term.

Apply the distributive property.

$- (2 x) - 1 \cdot 1 - \frac{1}{2} = \frac{1}{2} - (5 x - 1)$

Multiply $2$ by $- 1$ .

$- 2 x - 1 \cdot 1 - \frac{1}{2} = \frac{1}{2} - (5 x - 1)$

Multiply $- 1$ by $1$ .

$- 2 x - 1 - \frac{1}{2} = \frac{1}{2} - (5 x - 1)$

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- 2 x - 1 \cdot \frac{2}{2} - \frac{1}{2} = \frac{1}{2} - (5 x - 1)$

Combine $- 1$ and $\frac{2}{2}$ .

$- 2 x + \frac{- 1 \cdot 2}{2} - \frac{1}{2} = \frac{1}{2} - (5 x - 1)$

Combine the numerators over the common denominator.

$- 2 x + \frac{- 1 \cdot 2 - 1}{2} = \frac{1}{2} - (5 x - 1)$

Simplify the numerator.

Multiply $- 1$ by $2$ .

$- 2 x + \frac{- 2 - 1}{2} = \frac{1}{2} - (5 x - 1)$

Subtract $1$ from $- 2$ .

$- 2 x + \frac{- 3}{2} = \frac{1}{2} - (5 x - 1)$

Move the negative in front of the fraction.

$- 2 x - \frac{3}{2} = \frac{1}{2} - (5 x - 1)$

Simplify $\frac{1}{2} - (5 x - 1)$ .

Simplify each term.

Apply the distributive property.

$- 2 x - \frac{3}{2} = \frac{1}{2} - (5 x) - - 1$

Multiply $5$ by $- 1$ .

$- 2 x - \frac{3}{2} = \frac{1}{2} - 5 x - - 1$

Multiply $- 1$ by $- 1$ .

$- 2 x - \frac{3}{2} = \frac{1}{2} - 5 x + 1$

Simplify the expression.

Write $1$ as a fraction with a common denominator.

$- 2 x - \frac{3}{2} = - 5 x + \frac{1}{2} + \frac{2}{2}$

Combine the numerators over the common denominator.

$- 2 x - \frac{3}{2} = - 5 x + \frac{1 + 2}{2}$

Add $1$ and $2$ .

$- 2 x - \frac{3}{2} = - 5 x + \frac{3}{2}$

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

Add $5 x$ to both sides of the equation.

$- 2 x - \frac{3}{2} + 5 x = \frac{3}{2}$

Add $- 2 x$ and $5 x$ .

$3 x - \frac{3}{2} = \frac{3}{2}$

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

Add $\frac{3}{2}$ to both sides of the equation.

$3 x = \frac{3}{2} + \frac{3}{2}$

Combine the numerators over the common denominator.

$3 x = \frac{3 + 3}{2}$

Add $3$ and $3$ .

$3 x = \frac{6}{2}$

Divide $6$ by $2$ .

$3 x = 3$

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

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

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

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $3$ by $3$ .

$x = 1$

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

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