Question

Find the value of X:- (3x - 2)/3 + (2x + 3)/3 = x + 7/6
A) 4/5
B) 5/4
C) 4/3​

Answer 1

Answer:

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

$2(3x - 2) + 2(2x + 3) = 6x + 7 \\ \\ 6x - 4 + 4x + 6 = 6x + 7 \\ \\ - 4 + 4x + 6 = 7 \\ \\ 2 + 4x = 7 \\ \\ 4x = 7 - 2 \\ \\ 4x = 5 \\ \\ x = \frac{5}{4} or \\ \\ x = 1 \frac{1}{4}$

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Answer 2

Answer:

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

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

$\frac{5x + 1}{3} = \frac{6x + 7}{6}$

$6(5x + 1) = 3(6x + 7)$

$30x + 6 = 18x + 21$

$30x - 18x = 21 - 6$

$12x = 15$

$x = \frac{15}{12 }$

$x = \frac{5}{4}$