Simplifydfrac - 2x-7 - 5 - -dfrac - 3x-11 - 2 - -dfrac - 2x-8 - 3 - -5

Question

Toppr Admin · Accepted Answer

2x-75-x2212-3x-x2212-112-2x-83-x2212-5-x21D2-4x-14-x2212-5x-5510-2x-8-x2212-153-x21D2-3-x2212-11x-69-10-2x-x2212-7-x21D2-x2212-33x-207-20x-x2212-70-x21D2-207-70-20-33-xx-27753-

Simplify
$\frac{2 x + 7}{5} - \frac{3 x - 11}{2} = \frac{2 x + 8}{3} - 5$

$\frac{2 x + 7}{5} - \frac{3 x - 11}{2} = \frac{2 x + 8}{3} - 5$
$\Rightarrow \frac{4 x + 14 - 5 x + 55}{10} = \frac{2 x + 8 - 15}{3}$
$\Rightarrow 3 (- 11 x + 69) = 10 (2 x - 7)$
$\Rightarrow - 33 x + 207 = 20 x - 70$
$\Rightarrow 207 + 70 = (20 + 33) x$
$x = \frac{277}{53}$ .

Simplify2x+75−3x−112=2x+83−5

2x+75−3x−112=2x+83−5⇒4x+14−5x+5510=2x+8−153⇒3(−11x+69)=10(2x−7)⇒−33x+207=20x−70⇒207+70=(20+33)xx=27753.

Simplify
$\frac{2 x + 7}{5} - \frac{3 x - 11}{2} = \frac{2 x + 8}{3} - 5$

$\frac{2 x + 7}{5} - \frac{3 x - 11}{2} = \frac{2 x + 8}{3} - 5$
$\Rightarrow \frac{4 x + 14 - 5 x + 55}{10} = \frac{2 x + 8 - 15}{3}$
$\Rightarrow 3 (- 11 x + 69) = 10 (2 x - 7)$
$\Rightarrow - 33 x + 207 = 20 x - 70$
$\Rightarrow 207 + 70 = (20 + 33) x$
$x = \frac{277}{53}$ .