Respuesta :

Answer:

x = 2 2/3

Step-by-step 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

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x = 2 \frac{2}{3}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]6 \: ( \: x - 2 \: ) = 4[/tex]

➼[tex] \: 6x - 12 = 4[/tex]

➼[tex] \: 6x = 4 + 12[/tex]

➼[tex] \: 6x = 16[/tex]

➼[tex] \: x = \frac{16}{6} [/tex]

➼[tex] \: x = \frac{8}{3} [/tex]

➼[tex]\:x = 2 \frac{2}{3} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]6 \: ( \: x - 2 \: ) = 4[/tex]

➺[tex]\:6 \: ( \: 2 \frac{2}{3} - 2 \: ) = 4[/tex]

➺[tex] \: 6( \: \frac{8}{3} - 2 \: ) = 4[/tex]

➺[tex] \: 6 \: ( \: \frac{8 - 6}{3} \: ) = 4[/tex]

➺[tex] \: 6 \: ( \: \frac{2}{3} \: ) = 4[/tex]

➺[tex] \: 6 \times 0.667 = 4[/tex]

➺[tex] \: 4.002 = 4[/tex]

➺[tex] \: 4 = 4[/tex]

➺[tex] \: L.H.S.=R. H. S[/tex]

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]