Answer:
[tex]x = - \frac{17}{4} [/tex]
Step-by-step explanation:
[tex]6x + 3(4x - 2) = 5(2x - 8)[/tex]
Expand the terms in the bracket and simplify
That's
[tex]6x + 12x - 6 = 10x - 40 \\ 18x - 6 = 10x - 40[/tex]
Using the subtraction property subtract 10x from both sides of the equation
[tex]18x - 10x - 6 = 10x - 10x - 40 \\ 8x - 6 = - 40[/tex]
Add 6 to both sides of the equation
[tex]8x + 6 - 6 = - 40 + 6 \\ 8x = - 34[/tex]
Divide both sides by 8
[tex] \frac{8x}{8} = - \frac{34}{8} [/tex]
Reduce the fraction with 2
We have the final answer as
[tex]x = - \frac{17}{4} [/tex]
Hope this helps you
