Question

Solve the equation below.2(x + 3) - 2 > 5 + 3(x - 2)

Answer 1

Equation:

`2\mleft(x+3\mright)-2>5+3\mleft(x-2\mright)`

Procedure:

0. Simplifying both sides of the equation:

`2x+6-2>5+3x-6`
`2x+4>3x-1`

2. Getting the x on one side and the constants on the other:

`2x-3x>-1-4`
`-x>-5`

3. Dividing both sides by -1:

`(-x)/(-1)>(-5)/(-1)`

By doing this, the sing will change as follows:

`x<5`

Answer:

`x<5`