Solve x-(3-2(x+4))=-7

$$x-(3-2(x+4))=-7$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x+4.

$$x-\left(3-2x-8\right)=-7$$

Subtract 8 from 3 to get -5.

$$x-\left(-5-2x\right)=-7$$

To find the opposite of -5-2x, find the opposite of each term.

$$x-\left(-5\right)-\left(-2x\right)=-7$$

The opposite of -5 is 5.

$$x+5-\left(-2x\right)=-7$$

The opposite of -2x is 2x.

$$x+5+2x=-7$$

Combine x and 2x to get 3x.

$$3x+5=-7$$

Subtract 5 from both sides.

$$3x=-7-5$$

Subtract 5 from -7 to get -12.

$$3x=-12$$

Divide both sides by 3.

$$x=\frac{-12}{3}$$

Divide -12 by 3 to get -4.

$$x=-4$$