how do you solve 3x-5=2x+14

Question

i have no clue how to solve this

Answer 1

You need to isoloate the varialbe.  Get the x's on one side and the numbers on the other

3x-5=2x+14 subtract 2x from both sides

3x-2x-5= 2x-2x+14   3x-2x = x  and 2x-2x=0

x-5 = 14 add 5 to both sides

x-5 +5 = 14+ 5 

x = 19

Check subsitute 19 back in the original equation for x

3(19) -5 = 2(19) +14

57- 5 = 38 + 14

52 = 52 Which is true so the correct answer is x =19

 

Answer 2

Josh to solve 3x - 5 = 2x + 14 requires 4 simple steps:

Step 1: Combine the variables by moving both variables onto 1 side of the equation. This is done by subtracting 2x from both sides.

3x - 5 = 2x + 14

-2x          -2x

This cancels out the variables on the right side of the equation. The equation now reads as follows:

3x – 2x – 5 = 14

Step 2: Simplify the equation on the left hand side:

X – 5 = 14

Step 3: Isolate the variable on the left hand side of the equation, by adding 5 to both sides of the equation:

X – 5 = 14

 +5     +5

This cancels out the 5 on the left side and provides us with the following equation:

X = 14 + 5

Step 4: Simplify the right side of the equation:

X = 19

We can prove this is the solution by substituting 19 for x in our original equation and simplifying:

3(19) – 5 = 2(19) + 14

57 – 5 = 38 + 14

52 = 52