Question

solve the following equation
​

Answer 1

Answer:

$\rm \bullet \: \: x = \dfrac{14}{11}$

Explanation:

Given equation,

$\rm \implies \: \dfrac{3(x - 5)}{4} - 4x = 3 - \dfrac{x - 3}{2}$

Solving for ‘x’ :-

$\rm \implies \: \dfrac{3x - 15}{4} - 4x = 3 - \dfrac{x - 3}{2}$

$\rm \implies \: \dfrac{3x - 15 - 16x}{4} = \dfrac{6 - x - 3}{2}$

$\rm \implies \: \dfrac{15 - 13x}{4} = \dfrac{ 3 - x}{2}$

$\rm \implies \: {2(15 - 13x)} = {4( 3 - x)}$

$\rm \implies \: {30 - 26x} = {12- 4x}$

$\rm \implies \: {30 - 12} = {26x- 4x}$

$\rm \implies \: {28} = {22x}$

$\rm \implies \: { \dfrac{28}{22} } = {x}$

$\rm \implies \: { \dfrac{14}{11} } = {x}$

$\underline{ \rm \therefore \: The \: value \: of \: x \: is \: \dfrac{14}{11} }$

Answer 2

Answer:

• Given, 3(x-5)/4 -4x = 3-x-3/2

or, 3x-15/4-4x =6-x-3/2

or,3x-15-16x/4 = 3-x/2

or, -13x-15/4=3-x/2

or, 4(3-x) =2(-13x-15)

or, 12-4x=-26x-30

or, -4x+26x = -30-12

or, 22x=-42

or, x=-21/11