Question

Solve the following equations and check your answer

Answer 1

15x+1÷5=2-x
15x+1=10-5x
15x+5x=10-1
20x=9
x=9/20

Answer 2

$\: \: \: 3x + \frac{1}{5} = 2 - x \\ \\ \frac{15x + 1}{5} = 2 - x \\ \\ \: \: \: \: 15x + 1 = 5(2 - x) \\ \: \: \: \: 15x + 1 = 10 - 5x \\ \: 15x + 5x = 10 - 1 \\ \: \: \: \: \: \: \: \: \: \: \: 20x = 9 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{9}{20}$

$...............verification...........$

$3( \frac{9}{20} ) + \frac{1}{5} = 2 - \frac{9}{20} \\ \\ \frac{27}{20} + \frac{1}{5} = 2 - \frac{9}{20} \\ \\ \frac{27 + 4}{20} = \frac{40 - 9}{20} \\ \\ 27 + 4 = 40 - 9 \\ 31 = 31$


Thus, the value of x is 9/20