Question

(x-3)/5- (x+4)/4 =10
find x
full steps are needed
irrelevant answers or not full ans with step will be repoted

Answer 1

$\large\underline{\sf{Solution-}}$

Given equation is

$\rm :\longmapsto\:\dfrac{x - 3}{5} - \dfrac{x + 4}{4} = 10$

On taking LCM of 5 and 4 on LHS, we get

$\rm :\longmapsto\:\dfrac{4(x - 3) - 5(x + 4)}{20} = 10$

On open the braces, we get

$\rm :\longmapsto\:\dfrac{4x - 12 - 5x - 20}{20} = 10$

$\rm :\longmapsto\:\dfrac{ - 32 - x}{20} = 10$

On cross multiplication, we get

$\rm :\longmapsto\: - 32 - x = 200$

$\rm :\longmapsto\: - x = 200 + 32$

$\rm :\longmapsto\: - x = 232$

$\bf\implies \:x \: = \: - \: 232$

Verification :-

Consider LHS

$\rm :\longmapsto\:\dfrac{x - 3}{5} - \dfrac{x + 4}{4}$

On substituting the value of x, we get

$\rm \: = \:\dfrac{ - 232 - 3}{5} - \dfrac{ - 232+ 4}{4}$

$\rm \: = \:\dfrac{ - 235}{5} - \dfrac{ - 228}{4}$

$\rm \: = \:\dfrac{ - 235}{5} + \dfrac{ 228}{4}$

$\rm \: = \: - 47 + 57$

$\rm \: = \:10$

Hence, Verified

Answer 2

Answer:

$⟹x=−232$

Step-by-step explanation:

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