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4 votes

211=6(3+8x)+1

2 Answers

1 vote
X=4
211=18+48x+1
211=19+48x
User Nick Parsons
by
8.2k points
7 votes

Rearrange terms


⟹ 211 = 6(3 + 8x) + 1 \: \\ ⟹211 = 6(8x + 3) + 1

Add the numbers


⟹ 211 = 48x + 19

Subtract 19 from both sides of the equation


⟹211 = 48x + 19 - 19

Subtract the numbers


⟹ \: 192 = 48x + 19 - 19


⟹\: 192 = 48x

Divide both sides of the equation by the same term

Divide the numbers


\\ ⟹ (192)/(48x) = (48x)/(48) \\ \: ⟹ \: \: \: \: \: \: \: 4 = (48x)/(48)

Cancel terms that are in both the numerator and denominator


\\ \: ⟹\: 4 = (48x)/(48)

Move the variable to the left


\\ ⟹4 = x


\\ ⟹x = 4


⇒ \: Ans \: ⇒ x = 4 \: ⇐

User Saswata
by
8.3k points

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