Question

10-5x=3(x-4)-2(x+7)-------

Answer 1

Answer:

$10-5x=3\left(x-4\right)-2\left(x+7\right)$

$3\left(x-4\right)-2\left(x+7\right)$

combine like terms:-

$=3x-12-2x-14$

$3x-2x=x$

$=x-12-14$

Subtract -12 -14

$=x-26$

$10-5x=x-26$

Subtract 10 from both sides:-

$-5x=x-36$

Now, subtract x from both sides:-

$-5x-x=x-36-x$

$-6x=-36$

Divide both sides by -6:-

$\frac{-6x}{-6}=\frac{-36}{-6}$

$x=6$

OAmalOHopeO

Answer 2

Answer:

x=6

Step-by-step explanation:

10-5x=3(x-4)-2(x+7)

Distribute

10-5x=3x-12-2x14

Combine like terms

10-5x = x-26

add 5x to each side

10-5x+5x = x+5x-26

10 = 6x-26

Add 26 to each side

10+26 = 6x-26+26

36 = 6x

Divide by 6

36/6 = 6x/6

6 =x