Question

Select the correct answer.

What is the solution for x in the equation?

-3x + 7x − 8 = 34 + 9x − 2

A.

B.

C.

D.

Answer 1

`{ \bf{ \underbrace{ The\:value\:of\:x\:is\:-8.}}}`

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}`

`- 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ 4x - 9x = 32 + 8 \\ ⇢  - 5x = 40 \\ ⇢ x = (40)/( - 5) \\ ⇢ x = - 8`

`{ \bf{ \underbrace{To\:verify :}}}`

`- 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ - 3 * - 8 + 7 * - 8 - 8 = 34 + 9 * - 8 - 2 \\ ⇢24 - 56 - 8 = 34 - 72 - 2 \\ ⇢24 - 64 = 34 - 74 \\ ⇢ - 40 = - 40 \\ ⇢L.H.S.=R. H. S`

Hence verified. ✔

`\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}`

Answer 2

-8

Explanation:

-3x + 7x - 8 = 34 + 9x - 2

-3x + 7x - 9x = 34 - 2 + 8

-5x = 40|: (-5)

x = -8