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

Answer:

$x = - \frac{17}{4}$

Step-by-step 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

$\frac{8x}{8} = - \frac{34}{8}$

Reduce the fraction with 2

We have the final answer as

$x = - \frac{17}{4}$

Hope this helps you