Question

a)\(4x-3=4-3x\)

b)\(3+\left(x-5\right)=2\left(3x-2\right)\)

c)\(2\left(x-\frac{1}{4}\right)-4=-6\left(-\frac{1}{3}+0,5\right)+2\)

d)\(2.\left(x-0,5\right)+3=0,25.\left(4x-1\right)\)

Answer 1

a) 4x - 3 = 4- 3x

<=> 4x + 3x = 4 + 3

<=> 7x = 7

<=> x = 1

b) 3 + (x - 5) = 2 ( 3x - 2)

<=> 3 + x - 5 = 6x - 4

,<=> x- 2 = 6x - 4

<=> 4 - 2 = 6x - x

<=> 2 = 5x

,<=> 5x = 2 

<=> x = \(\frac{2}{5}\)

c) 2( x - \(\frac{1}{4}\)) - 4 = -6 ( -\(\frac{1}{3}\)+ 0,5) + 2

<=> 2x -\(\frac{1}{2}\)- 4 = 2 - 3 + 2

<=> 2x- \(\frac{9}{2}\)= 1

,<=> 2x = 1 + \(\frac{9}{2}\)= \(\frac{11}{2}\)

<=> x = \(\frac{11}{4}\)

d) 2 ( x - 0,5) + 3 = 0,25 ( 4x - 1)

<=> 2x - 1 + 3 = x - 0,25

<=> 2x + 2 = x - 0,25

<=> 2x - x = -2 - 0,25

<=> x = -2