Solve 6x+8-22x=28+14x-10+12x

$$6 x + 8 - 22 x = 28 + 14 x - 10 + 12 x$$

Solve for x

$$x=-\frac{5}{21}\approx -0.238095238$$

Steps for Solving Linear Equation

Combine 6x and -22x to get -16x.

$$-16x+8=28+14x-10+12x$$

Subtract 10 from 28 to get 18.

$$-16x+8=18+14x+12x$$

Combine 14x and 12x to get 26x.

$$-16x+8=18+26x$$

Subtract 26x from both sides.

$$-16x+8-26x=18$$

Combine -16x and -26x to get -42x.

$$-42x+8=18$$

Subtract 8 from both sides.

$$-42x=18-8$$

Subtract 8 from 18 to get 10.

$$-42x=10$$

Divide both sides by -42.

$$x=\frac{10}{-42}$$

Reduce the fraction \frac{10}{-42} to lowest terms by extracting and canceling out 2.

$$x=-\frac{5}{21}$$