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

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

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

Simplify each term.

Apply the distributive property.

$5 x - x - 1 \cdot 1 = 5 - 2 x$

Multiply $- 1$ by $1$ .

$5 x - x - 1 = 5 - 2 x$

Subtract $x$ from $5 x$ .

$4 x - 1 = 5 - 2 x$

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

Add $2 x$ to both sides of the equation.

$4 x - 1 + 2 x = 5$

Add $4 x$ and $2 x$ .

$6 x - 1 = 5$

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

Add $1$ to both sides of the equation.

$6 x = 5 + 1$

Add $5$ and $1$ .

$6 x = 6$

Divide each term in $6 x = 6$ by $6$ and simplify.

Divide each term in $6 x = 6$ by $6$ .

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

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $6$ by $6$ .

$x = 1$