Question

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

Answer 1

x=6

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

Answer 2

`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:-

`(-6x)/(-6)=(-36)/(-6)`

`x=6`

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