Question

Solve the equation 10x+14= - 2x+38 explaining all the steps of your solution.

Answer 1

x = -2

Explanation:

10x + 14 = -2x + 38

Subtract 14 from both sides:

10x + 14 - 14 = -2x + 38 - 14

10x = -2x - 24

Add 2x to both sides

10x + 2x = 2x - 2x - 24

12x = -24

Divide both sides by 12

12x/12 = -24/12

x = -2

Answer 2

x=2

Explanation:

10x+14 = -2x+38 add 2x to both sides

10x +2x +14 = -2x +2x +38

10x +2x +14 = 38 subtract 14 from both sides

10x +2x +14 -14 = 38 -14

10x +2x = 38 -14 combine like terms

12x = 24 divide both sides by 12

12x/12 = 24/12

x =2