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Question

$x$ $x$ over 3 + $x$ $x$ +1 over 2 = 3

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Answer 1 · 2018-06-05T00:29:19

$x = 3$ $x=3$

Given:

$\frac{x}{3} + \frac{x + 1}{2} = 3$ $x/3+(x+1)/2=3$

Multiply both sides by $6$ $6$ .

$6 (\frac{x}{3} + \frac{x + 1}{2}) = 3 \cdot 6$ $6(x/3+(x+1)/2)=3*6$

$\frac{6 x}{3} + \frac{6 (x + 1)}{2} = 18$ $(6x)/3+(6(x+1))/2=18$

$2 x + 3 (x + 1) = 18$ $2x+3(x+1)=18$

Expand.

$2 x + 3 x + 3 = 18$ $2x+3x+3=18$

Add like-terms.

$5 x + 3 = 18$ $5x+3=18$

Subtract $3$ $3$ from both sides.

$5 x = 18 - 3$ $5x=18-3$

$5 x = 15$ $5x=15$

Divide by $5$ $5$ .

$x = \frac{15}{5}$ $x=15/5$

$= 3$ $=3$