Question

Solve for x:
2x - 14 = 3x + 6

Answer 1

Answer: add 14 to both sides of the equation

2x-14=3x+6

2x-14+14=3x+6+14

Simplify

add the numbers

2x-14+14=3x+6+14

2x=3x+6+14

add the numbers

2x=3x+6+14

2x=3x+20

subtract 3x from both sides of the equation

2x=3x+20

2x-3x=3x+20-3x

simplify

Combine like terms

2x-3x=3x+20-3x

-x=3x+20-3x

Combine like terms

-x=3x+20-3x

-x=20

Divided both sides of the equation by the same term

-x=20

-x/-1=20-/-1

Simplify

Cancel terms that are in both the numerator and denominator

-x/-1=20/-1

x=20/-1

Divide the numbers

x=20/-1

x=-20

So the answer is x=-20

Hope this helps... Stay safe and have a great day/night!!! :D

Answer 2

x = - 20

Explanation:

`2x - 14 = 3x + 6`

Move 3x to the other side of the equation

`2x - 3x - 14 = 6 \\ - x - 14 = 6`

Move -14 to the right side of the equation.

`- x = 14 + 6 \\ - x = 20`

Multiply both sides by - 1

`- ( - x) = - 20 \\ x = - 20`

We have the final answer as

x = - 20

Hope this helps you