Question

Solve for x 6(x-3)=8(x-4)

Answer 1

`\sf\purple{x= 7}`

`\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}`

`➺\:6(x - 3) = 8(x - 4)`

`➺ \: 6x - 18 = 8x - 32`

`➺ \: 6x - 8x = - 32 + 18`

`➺ \: - 2x = - 14`

`➺ \: x = ( - 14)/( - 2)`

`➺ \: x = 7`

Therefore, the value of
`x` is 7.

`\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}`

`➺ \: 6(x - 3) = 8(x - 4)`

`➺ \: 6(7 - 3) = 8(7 - 4)`

`➺ \: 6 * 4 = 8 * 3`

`➺ \: 24 = 24`

➺ L. H. S. = R. H. S.

Hence verified.

`\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}`

Answer 2

7=x

Explanation:

6(x-3)=8(x-4)

Distribute

6x -18 = 8x-32

Subtract 6x from each side

6x-18 -6x = 8x-32-8x

-18 = 2x-32

Add 32 to each side

-18+32 = 2x-32+32

14 = 2x

Divide by 2

14/2 =2x/2

7=x