Solve 22x-5=31x+4x-69+7x

$$22 x - 5 = 31 x + 4 x - 69 + 7 x$$

Solve for x

$$x = \frac{16}{5} = 3\frac{1}{5} = 3.2$$

Steps for Solving Linear Equation

Combine 31x and 4x to get 35x.

$$22x-5=35x-69+7x$$

Combine 35x and 7x to get 42x.

$$22x-5=42x-69$$

Subtract 42x from both sides.

$$22x-5-42x=-69$$

Combine 22x and -42x to get -20x.

$$-20x-5=-69$$

Add 5 to both sides.

$$-20x=-69+5$$

Add -69 and 5 to get -64.

$$-20x=-64$$

Divide both sides by -20.

$$x=\frac{-64}{-20}$$

Reduce the fraction \frac{-64}{-20} to lowest terms by extracting and canceling out -4.

$$x=\frac{16}{5}$$