Question

x/3 + x/5 - x/2 = 2x/3 - 2. x + 3/4 - 2x - 1/5 = 2x + 4/5 - x + 1/4

Answer 1

Answer:

1st Equation

$\frac{x}{3} + \frac{x}{5} - \frac{x}{2} = \frac{2x}{3} - 2$

$= > 10x + 6x - 15x = 10 \times 2x - 60$

$= > 16x - 15x = 10 \times 2x - 60$

$= > x = 10 \times 2x - 60$

$= > x = 20x - 60$

$= > x - 20x = - 60$

$= > - 19x = - 60$

$= > x = \frac{ - 60}{ - 19}$

$= > x = \frac{60}{19}$

$= 3 \frac{3}{19}$

≈3.157894737

2nd Equation

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

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

$= > - x + \frac{15}{20} - \frac{4}{20} = 2x + \frac{4}{5} - x + \frac{1}{4}$

$= > - x + \frac{15 - 4}{20} = 2x + \frac{4}{5} - x + \frac{1}{4}$

$= > - x + \frac{11}{20} = 2x + \frac{4}{5} - x + \frac{1}{4}$

$= > - x + \frac{11}{20} = x + \frac{4}{5} + \frac{1}{4}$

$= > - x + \frac{11}{20} = x + \frac{16}{20} + \frac{5}{20}$

$= > - x + \frac{11}{20} = x + \frac{16 + 5}{20}$

$= > - x + \frac{11}{20} = x + \frac{21}{20}$

$= > - x + \frac{11}{20} - x = \frac{21}{20}$

$= > - 2x + \frac{11}{20} = \frac{21}{20}$

$= > - 2x = \frac{21}{20} - \frac{11}{20}$

$= > - 2x = \frac{21 - 11}{20}$

$= > - 2x = \frac{10}{20}$

$= > - 2x = \frac{1}{2}$

$= > x = \frac{ \frac{1}{2} }{ - 2}$

$= > x = \frac{1}{2( - 2)}$

$= > x = \frac{1}{ - 4}$

$= > x = - \frac{1}{4}$

$= > x = - \frac{1}{4} = - 0.25$