Question

Solve for x.

6(x - 2) = 4

a) x = 2 1/3

b) x = 1 1/3

c) x = 1

Answer 1

`\implies {\blue {\boxed {\boxed {\purple {\sf {x = 2 (2)/(3)}}}}}}`

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

`6 \: ( \: x - 2 \: ) = 4`

➼
`\: 6x - 12 = 4`

➼
`\: 6x = 4 + 12`

➼
`\: 6x = 16`

➼
`\: x = (16)/(6)`

➼
`\: x = (8)/(3)`

➼
`\:x = 2 (2)/(3)`

`\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}`

`6 \: ( \: x - 2 \: ) = 4`

➺
`\:6 \: ( \: 2 (2)/(3) - 2 \: ) = 4`

➺
`\: 6( \: (8)/(3) - 2 \: ) = 4`

➺
`\: 6 \: ( \: (8 - 6)/(3) \: ) = 4`

➺
`\: 6 \: ( \: (2)/(3) \: ) = 4`

➺
`\: 6 * 0.667 = 4`

➺
`\: 4.002 = 4`

➺
`\: 4 = 4`

➺
`\: L.H.S.=R. H. S`

`\boxed{Hence\:verified.}`

`\bold{ \green{ \star{ \orange{Mystique35}}}}⋆`

Answer 2

x = 2 2/3

Explanation:

6(x - 2) = 4

Distribute

6x - 12 = 4

Add 12 to each side

6x-12+12 = 4+12

6x = 16

Divide by 6

6x/6 = 16/6

x = 8/3

x = 2 2/3