Question

$\huge\underline\mathfrak{Hello\:Mates}$
Solve the following equation:-
0.18(5x-4)=0.5x+0.8

#I want to check my answer whether it's correct or not!
#Moderators please solve it!
#No copied or spammed answers.
#Don't waste the points!
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Answer 1

Answer :

The value of x - 3.8

Step-by-step explanation :

$\bigstar\;\textbf{\underline{\underline{Method -}}}$

Given,

0.18 (5x - 4) = 0.5x + 0.8

To Find :

The value of 'x'

Solution :

Just simplifying :

⇒ 0.18 (5x - 4) + 0.5x + 0.8

⇒ 0.9x - 0.72 = 0.8x + 0.72

⇒ 0.4x = 1.52.

∴ x = $\sf \dfrac{1.52}{0.4} = \dfrac{152\times10}{4\times100} = \dfrac{38}{10} = 3.8$

★ Hence, The value of x = 3.8.

$\rule{300}{1.5}$

Important Rules for this type of Questions :

BODMAS,

B - Brackets.

O - Of (Multiply)

D - Divde.

M - Mulitply.

A - Addition.

S - Subtraction.

_____________________

⇒ ( a + b)² + a² + 2ab + b²

⇒ ( a - b)² - a² - 2ab + b²

Answer 2

Answer:

$0.18\left(5x-4\right)=0.5x+0.8\quad :\quad x=\dfrac{19}{5}\quad \left(\mathrm{Decimal}:\quad x=3.8\right)$

Step-by-step explanation:

$0.18\left(5x-4\right)=0.5x+0.8$

$\gray{\mathrm{Multiply\:both\:sides\:by\:}100}$

$0.18\left(5x-4\right)\cdot \:100=0.5x\cdot \:100+0.8\cdot \:100$

$\gray{\mathrm{Refine}}$

$18\left(5x-4\right)=50x+80$

$\gray{\mathrm{Expand\:}18\left(5x-4\right):\quad 90x-72}$

$90x-72=50x+80$

$\gray{\mathrm{Add\:}72\mathrm{\:to\:both\:sides}}$

$90x-72+72=50x+80+72$

$\gray{\mathrm{Simplify}}$

$90x=50x+152$

$\gray{\mathrm{Subtract\:}50x\mathrm{\:from\:both\:sides}}$

$90x-50x=50x+152-50x$

$\gray{\mathrm{Simplify}}$

$40x=152$

$\gray{\mathrm{Divide\:both\:sides\:by\:}40}$

$\dfrac{40x}{40}=\dfrac{152}{40}$

$\gray{\mathrm{Simplify}}$

$x=\dfrac{19}{5}$