Question

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

Answer 1

Answer:

x = 5/36

Step-by-step explanation:

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

4x - 3/4 = x - 1/3

4x - x = 3/4 - 1/3

3x = 5/12

x = 5/36

Answer 2

$\dfrac{5x\: - \: 1}{4} \: - \: \dfrac{x\: - \: 1}{2}\: = \: \dfrac{x\: - \: 1}{3}$

$\dfrac{2(5x\: -\: 1)\: -\: 4(x\: -\: 1)}{4\times 2} \: = \: \dfrac{x\: - \: 1}{3}$

$\dfrac{10x \: -\: 2 \: -4x \: +\:4}{8}\: = \: \dfrac{x\: - \: 1}{3}$

$\dfrac{6x\: +\: 2}{8} \: = \: \dfrac{x\: - \: 1}{3}$

$\dfrac{3x+1}{4} \: = \: \dfrac{x\: - \: 1}{3}$

$3(3x\: + \: 1) \: = \: 4(x\: - \: 1)$

$9x\: + \: 3\: = \:4x \: -4$

$9x \: -\: 4x \: +\: 3 \: +\: 4 \: = \: 0$

$5x\: + \: 7 \: = \: 0$

$x \: = \: \dfrac{-7}{5}$