Solve the following equation and find the missing term- 8x - 6 - 3x - -5x - 4 - 1

Given nbsp; 8x + 6 3x + ?/5x + 4 = 1 5x + 6 + ?/5x + 4 = 1 Multipliying both sides with 5x + 4 5x + 6 + ? = 1× (5x + 4) 5x + 6 + ? = 5x + 4 Subtract 4 ...

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Byju's Answer

Standard VI

Mathematics

Solving an Equation Using Transposition

Solve the fol...

Question

Solve the following equation and find the missing term.
$\frac{8x + 6 - 3x + ?}{5x + 4}$ = 1

-4

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-2

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Solution

The correct option is C -2
Given $\frac{8x + 6 - 3x + ?}{5x + 4}$ = 1

$⟹ \frac{5x + 6 + ?}{5x + 4}$ = 1

Multipliying both sides with $5x + 4$

$⟹ 5x + 6 + ? = 1 \times (5x + 4)$

$⟹ 5x + 6 + ? = 5x + 4$

Subtract $4$ on both sides

$⟹ 5x + 6 + ? - 4 = 5x + 4 - 4$

$⟹ 5x + 2 + ? = 5x$

Subtract $5x$ on both sides

$⟹ 5x + 2 + ? - 5x = 5x - 5x$

$⟹ 2 + ? = 0$

$⟹ ? = -2$

$∴$ The missing value in the given equation is -2.

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Solve the following equation and find the missing term. 8x + 6 - 3x + ?5x + 4 = 1

Solve the following equation and find the missing term.
$\frac{8x + 6 - 3x + ?}{5x + 4}$ = 1