How do you find a variable in an equation?

Question

2x+3x+(-14) = 34+2x-14

True or False and how do you find these variables step by step?

Answer 1

2x+3x+(-14) = 34+2x-14

combine like terms on each side of the equation

5X - 14 = 2x +20

Combine like terms on opposite sides of the equation to isolate x

Add 14 to both sides to get

5x = 2x +34

Subtract 2x from both sides

3x = 34

reduce

x=11 1/3 (I used a fraction instead of decimals because of infinite repeating: 11.333333 etc.)

check

(5*11 1/3)-14 = 34 + (2*11 1/3) - 14

56 2/3 - 14 = 34 + 22 2/3 - 14

56 2/3 - 14 = 56 2/3 - 14

42 2/3 = 42 2/3

Equation is True