Determine whether the given problem is an equation or an expression. If it is an

sagnuhh 2021-09-24 Answered
Determine whether the given problem is an equation or an expression. If it is an equation, then solve. If it is an expression, then simplify. (4x - 1)/10 - (5x + 2)/4 = -3

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Expert Answer

brawnyN
Answered 2021-09-25 Author has 20134 answers
Step 1
Given problem is
\(\displaystyle{\frac{{{\left({4}{x}-{1}\right)}}}{{{10}}}}-{\frac{{{\left({5}{x}+{2}\right)}}}{{{4}}}}=-{3}\)
Step 2
\(\displaystyle\because\) Given problem contain sign of equality, so its a equation.
Step 3
\(\displaystyle{\frac{{{\left({4}{x}-{1}\right)}}}{{{10}}}}-{\frac{{{\left({5}{x}+{2}\right)}}}{{{4}}}}=-{3}\)
\(\displaystyle\Rightarrow{\frac{{{2}{\left({4}{x}-{1}\right)}-{5}{\left({5}{x}+{2}\right)}}}{{{20}}}}=-{3}\)
\(\displaystyle\Rightarrow{\frac{{{8}{x}-{2}-{25}{x}-{10}}}{{{20}}}}=-{3}\)
\(\displaystyle\Rightarrow-{17}{x}-{12}={\left(-{3}\right)}\times{20}\)
\(\displaystyle\Rightarrow-{17}{x}=-{60}+{12}\)
\(\displaystyle\Rightarrow-{17}{x}=-{48}\)
\(\displaystyle\Rightarrow{17}{x}={48}\)
\(\displaystyle\Rightarrow{x}={\frac{{{48}}}{{{17}}}}\)
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