Respuesta :

[tex] \: \: \: \: [/tex]

[tex]6x - 30 - 3x = - 12[/tex]

  • move the variable to the left hand side and change its sign, move the constant to the right hand side and change its sign

[tex]6x - 30 = - 12[/tex]

  • collect like terms and calculate the sum

[tex] 3x = - 18[/tex]

  • divide both sides of the equation by 3

[tex]x = 3[/tex]

hope it helps

[tex] \: \: \: \: \: [/tex]

[tex]\sf \longmapsto6(x−5)=3x−12[/tex]

  • Simplify both sides

[tex]\sf \longmapsto(6)(x)+(6)(−5)=3x+−12[/tex]

[tex]\sf \longmapsto6x+−30=3x+−12[/tex]

[tex]\sf \longmapsto \: 6x - 30 = 3x - 12[/tex]

  • Subtract 3x from both sides

[tex]\sf \longmapsto \: 6x−30−3x=3x−12−3x[/tex]

[tex]\sf \longmapsto3x−30=−12[/tex]

  • Add 30 to both sides

[tex]\sf \longmapsto3x−30+30=−12+30[/tex]

[tex]\sf \longmapsto3x=18[/tex]

  • Divide both sides by 3

[tex]\sf \longmapsto \: \dfrac{3x}{3} = \dfrac{18}{3} [/tex]

[tex]\sf \longmapsto \: x = 6[/tex]

[tex] \boxed{\sf \: x = 6 }[/tex]

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