Linear Equation Problem Evaluating the expression below: \(\displaystyle{\frac{{{2}{\left({6}-{x}\right)}}}{{{3}}}}={\frac{{{9}{\left({x}+{5}\right)}}}{{{6}}}}+{\frac{{{1}}}{{{3}}}}\) The answer

loraliyeruxi

loraliyeruxi

Answered question

2022-03-24

Linear Equation Problem
Evaluating the expression below:
2(6x)3=9(x+5)6+13
The answer is 2313 but to obtain this answer what specific method do you use?

Answer & Explanation

okusen8m1a

okusen8m1a

Beginner2022-03-25Added 8 answers

Given the equation:
2(6x)3=9(x+5)6+13
First of all you want to get rid of the divisors. For that, multiply per 6, so you get:
4(6x)=9(x+5)+2
Then expand the parenthesis:
244x=9x+45+2
And move x's to one side by adding +4x in both sides:
244524x+4x=9x+4x
24452=9x+4x
Which becomes:
2447=13x
23=13x
Isolating x it yields:
x=2313

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