Solve (-7x+1)-(2x-1)=-13

$$( - 7 x + 1 ) - ( 2 x - 1 ) = - 13$$

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

To find the opposite of 2x-1, find the opposite of each term.

$$-7x+1-2x-\left(-1\right)=-13$$

The opposite of -1 is 1.

$$-7x+1-2x+1=-13$$

Combine -7x and -2x to get -9x.

$$-9x+1+1=-13$$

Add 1 and 1 to get 2.

$$-9x+2=-13$$

Subtract 2 from both sides.

$$-9x=-13-2$$

Subtract 2 from -13 to get -15.

$$-9x=-15$$

Divide both sides by -9.

$$x=\frac{-15}{-9}$$

Reduce the fraction \frac{-15}{-9} to lowest terms by extracting and canceling out -3.

$$x=\frac{5}{3}$$