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]