Question

• What is the solution to 5x+ 20 = 7(x+2)?

Answer 1

For this case we must find the solution of the following equation:

`5x + 20 = 7 (x + 2)`

Applying distributive property on the right side of the equation we have:

`5x + 20 = 7x + 14`

Subtracting 7x from both sides of the equation:

`5x-7x + 20 = 14\\-2x + 20 = 14`

Subtracting 20 from both sides of the equation:

`-2x = 14-20`

Different signs are subtracted and the major sign is placed.

`-2x = -6`

Dividing between -2 on both sides of the equation:

`x = \frac {-6} {- 2}\\x = 3`

Thus, the solution of the equation is
`x = 3`

Answer:

`x = 3`