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

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

Step 1

Simplify $7 x - (5 x - 1)$ .

Simplify each term.

Apply the distributive property.

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

Multiply $5$ by $- 1$ .

$7 x - 5 x - - 1 = 2$

Multiply $- 1$ by $- 1$ .

$7 x - 5 x + 1 = 2$

Subtract $5 x$ from $7 x$ .

$2 x + 1 = 2$

Step 2

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

Subtract $1$ from both sides of the equation.

$2 x = 2 - 1$

Subtract $1$ from $2$ .

$2 x = 1$

Step 3

Divide each term in $2 x = 1$ by $2$ and simplify.

Divide each term in $2 x = 1$ by $2$ .

$\frac{2 x}{2} = \frac{1}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{1}{2}$

Divide $x$ by $1$ .

$x = \frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{2}$

Decimal Form:

$x = 0.5$