Solve -(x+6)-7=-5(x+7)

$$- ( x + 6 ) - 7 = - 5 ( x + 7 )$$

Solve for x

$$x = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Steps for Solving Linear Equation

To find the opposite of x+6, find the opposite of each term.

$$-x-6-7=-5\left(x+7\right)$$

Subtract 7 from -6 to get -13.

$$-x-13=-5\left(x+7\right)$$

Use the distributive property to multiply -5 by x+7.

$$-x-13=-5x-35$$

Add 5x to both sides.

$$-x-13+5x=-35$$

Combine -x and 5x to get 4x.

$$4x-13=-35$$

Add 13 to both sides.

$$4x=-35+13$$

Add -35 and 13 to get -22.

$$4x=-22$$

Divide both sides by 4.

$$x=\frac{-22}{4}$$

Reduce the fraction \frac{-22}{4} to lowest terms by extracting and canceling out 2.

$$x=-\frac{11}{2}$$