Solve -6-3(8+x)=-7-(x-3)

$$- 6 - 3 ( 8 + x ) = - 7 - ( x - 3 )$$

Solve for x

$$x=-13$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 8+x.

$$-6-24-3x=-7-\left(x-3\right)$$

Subtract 24 from -6 to get -30.

$$-30-3x=-7-\left(x-3\right)$$

To find the opposite of x-3, find the opposite of each term.

$$-30-3x=-7-x-\left(-3\right)$$

The opposite of -3 is 3.

$$-30-3x=-7-x+3$$

Add -7 and 3 to get -4.

$$-30-3x=-4-x$$

Add x to both sides.

$$-30-3x+x=-4$$

Combine -3x and x to get -2x.

$$-30-2x=-4$$

Add 30 to both sides.

$$-2x=-4+30$$

Add -4 and 30 to get 26.

$$-2x=26$$

Divide both sides by -2.

$$x=\frac{26}{-2}$$

Divide 26 by -2 to get -13.

$$x=-13$$