Given 6 x+12+1=7 x 33 6 x+1+22=7 x 33 3(6 x+3)=2(7 x 3) 18 x+9=14 x 6 4 x= 15 x= 154 ...

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Algebraic Identities

Solve: 6x+1...

Question

Solve: $\frac{6 x + 1}{2} + 1 = \frac{7 x - 3}{3}$

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Solution

Given $\frac{6 x + 1}{2} + 1 = \frac{7 x - 3}{3}$
$⟹ \frac{6 x + 1 + 2}{2} = \frac{7 x - 3}{3}$
$⟹ 3 (6 x + 3) = 2 (7 x - 3)$
$⟹ 18 x + 9 = 14 x - 6$
$⟹ 4 x = - 15 ⟹ x = - \frac{15}{4}$

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