Question

3(x - 4) > 5x + 2 what value of x is in the solution set

Answer 1

Hi,


Work:

Equation;


`3(x - 4) > 5x + 2`

Distribute 3 over parenthesis.


`3x - 12 > 5x + 2`

Move variable 5x to the left side and change its sign.


`3x - 5x - 12 > 2`

Collect like terms.


`- 2x - 12 > 2`

Now divide both sides of inequality by -2 and flip the inequality sign.


`x < - 7 \: \: \: \: \: \: \: \: \: \: result`


Hope this helps.
r3t40