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What is the solution to the linear equation? 2/3x – 1/2 = 1/3 + 5/6 x

User Nolequen
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2 Answers

7 votes

Answer:

Simplify 23x

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2x3−12=13+56x

Simplify 56x

Explanation:

User Tifu
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4 votes

For this case we must solve the following equation:


\frac {2} {3} x- \frac {1} {2} = \frac {1} {3} + \frac {5} {6} x

Subtract
\frac {5} {6} x on both sides of the equation:


\frac {2} {3} x- \frac {5} {6} x- \frac {1} {2} = \frac {1} {3}

We add
\frac {1} {2} to both sides of the equation:


\frac {2} {3} x- \frac {5} {6} x = \frac {1} {3} + \frac {1} {2}\\\frac {12-15} {18} x = \frac {2 + 3} {6}\\\frac {-3} {18} x = \frac {5} {6}\\- \frac {1} {6} x = \frac {5} {6}\\

We multiply by 6 on both sides of the equation:


-x = 5

We multiply by -1 on both sides of the equation:


x = -5

Answer:


x = -5

User Uelb
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