Question

6x+3(4x-2)=5(2x-8) the answer is -17/4 but can someone explain how to get that answer? plz help lol​

Answer 1

`x = - (17)/(4)`

Explanation:

`6x + 3(4x - 2) = 5(2x - 8)`

Expand the terms in the bracket and simplify

That's

`6x + 12x - 6 = 10x - 40 \\ 18x - 6 = 10x - 40`

Using the subtraction property subtract 10x from both sides of the equation

`18x - 10x - 6 = 10x - 10x - 40 \\ 8x - 6 = - 40`

Add 6 to both sides of the equation

`8x + 6 - 6 = - 40 + 6 \\ 8x = - 34`

Divide both sides by 8

`(8x)/(8) = - (34)/(8)`

Reduce the fraction with 2

We have the final answer as

`x = - (17)/(4)`

Hope this helps you