Solve 22x-7-(-3-2x)=-16

$$22 x - 7 - ( - 3 - 2 x ) = - 16$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

To find the opposite of -3-2x, find the opposite of each term.

$$22x-7-\left(-3\right)-\left(-2x\right)=-16$$

The opposite of -3 is 3.

$$22x-7+3-\left(-2x\right)=-16$$

The opposite of -2x is 2x.

$$22x-7+3+2x=-16$$

Add -7 and 3 to get -4.

$$22x-4+2x=-16$$

Combine 22x and 2x to get 24x.

$$24x-4=-16$$

Add 4 to both sides.

$$24x=-16+4$$

Add -16 and 4 to get -12.

$$24x=-12$$

Divide both sides by 24.

$$x=\frac{-12}{24}$$

Reduce the fraction \frac{-12}{24} to lowest terms by extracting and canceling out 12.

$$x=-\frac{1}{2}$$