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40 votes
40 votes
IDΚ, help, what's the value of x,
8x-2=-9+7x

User Roman  Ermolov
by
2.7k points

2 Answers

19 votes
19 votes

Answer:

x = -7

Explanation:

8x - 2 = -9 +7x

in this type of problem you have to get all the X's together on one side, and all the common variables together on the other.

8x = -7 + 7x (you add 2 to boths sides. The -2 and 2 clear out on the left side. The 2 and -9 added together forms -7 on the right)

x = -7 (you subtract 7x from both sides. The 7x and -7x cancel out on the right and you are left with on 1 x on the left side)

User Xinran Shen
by
3.1k points
15 votes
15 votes

Answer:

  • x = -7

Explanation:

In this question we have given an equation that is 8x - 2 = -9 + 7x . And we're aksed to find the value of x .

Solution : -


\longmapsto \qquad \: 8x - 2 = -9 + 7x

Step 1 : Adding 2 to both sides :


\longmapsto \qquad \:8x - \cancel{ 2} + \cancel{ 2} = - 9 + 7x+2

On further calculations, we get :


\longmapsto \qquad \:8x =7x - 7

Step 2 : Subtracting 7x on both sides :


\longmapsto \qquad \:8x - 7x = \cancel{7x} - 7 - \cancel{7x}

On further calculations, we get :


\longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = - 7}}}}

  • Henceforth , value of x is - 7 .

Verifying : -

Now ww are verifying our answer by substituting value of x in given equation . So ,

  • 8x - 2 = -9 + 7x

  • 8 ( -7 ) - 2 = -9 + 7 ( -7 )

  • -56 - 2 = -9 - 49

  • -58 = -58

  • L.H.S = R.H.S

  • Hence, Verified.

Therefore, our answer is correct .

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User Rdo
by
2.4k points
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