Find x- if 5x - 46 - 4x - 1 - 3x - 102-

We have, #10; #10; 5x 46=4x+1 3x+102 #10; #10; 5x 46=8x+2 3x 102 #10; #10; 5x 43=5x 8 #10; #10; 5x 4=15x 24 #10; #10; ...

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Terms in an Arithmetic Progression

Find x, if ...

Question

Find $x$ , if $\frac{5 x - 4}{6} = 4 x + 1 - \frac{3 x + 10}{2}$ .

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Solution

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x

5 (x - 4) - 3 (x - 5) - \frac{1}{4} (x - 6) = 0

\frac{5 x - 4}{6} = 4 x + 1 - \frac{3 x + 10}{2}

Solve :

$\frac{5 x - 4}{6} = 4 x + 1 - \frac{3 x + 10}{2}$

x^{4} + 4 x^{2} - 3 x + 7

3 x^{3} - x^{2} + 2 x + 1

x^{4} - 3 x^{3} + 5 x^{2} - 5 x + 6

3 x^{3} - 4 x^{2} + 5 x - 6

x = (- 1)

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