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Oxana [17]
3 years ago
10

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

Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Answer: x=-5

Step-by-step explanation:

You need to find the value of the variable "x".

Solve for "x":

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

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

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

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

Multiply both sides of the equation by -6:

(-\frac{1}{6}x)(-6)=(\frac{5}{6})(-6)\\\\x=-5

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