Solve 2(2x-9)+5=-7(-x-8)

$$2 ( 2 x - 9 ) + 5 = - 7 ( - x - 8 )$$

Solve for x

$$x=-23$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 2x-9.

$$4x-18+5=-7\left(-x-8\right)$$

Add -18 and 5 to get -13.

$$4x-13=-7\left(-x-8\right)$$

Use the distributive property to multiply -7 by -x-8.

$$4x-13=-7\left(-x\right)+56$$

Multiply -7 and -1 to get 7.

$$4x-13=7x+56$$

Subtract 7x from both sides.

$$4x-13-7x=56$$

Combine 4x and -7x to get -3x.

$$-3x-13=56$$

Add 13 to both sides.

$$-3x=56+13$$

Add 56 and 13 to get 69.

$$-3x=69$$

Divide both sides by -3.

$$x=\frac{69}{-3}$$

Divide 69 by -3 to get -23.

$$x=-23$$