Respuesta :

X=4
211=18+48x+1
211=19+48x

Rearrange terms

[tex] ⟹ 211 = 6(3 + 8x) + 1 \: \\ ⟹211 = 6(8x + 3) + 1[/tex]

Add the numbers

[tex]⟹ 211 = 48x + 19[/tex]

Subtract 19 from both sides of the equation

[tex]⟹211 = 48x + 19 - 19[/tex]

Subtract the numbers

[tex] ⟹ \: 192 = 48x + 19 - 19[/tex]

[tex]⟹\: 192 = 48x[/tex]

Divide both sides of the equation by the same term

Divide the numbers

[tex] \\ ⟹ \frac{192}{48x} = \frac{48x}{48} \\ \: ⟹ \: \: \: \: \: \: \: 4 = \frac{48x}{48} [/tex]

Cancel terms that are in both the numerator and denominator

[tex] \\ \: ⟹\: 4 = \frac{48x}{48} [/tex]

Move the variable to the left

[tex] \\ ⟹4 = x[/tex]

[tex] \\ ⟹x = 4[/tex]

[tex]⇒ \: Ans \: ⇒ x = 4 \: ⇐[/tex]