Question

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

Answer 1

Simplify 23x

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2x3−12=13+56x

Simplify 56x

Explanation:

Answer 2

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`