What is the answer to 1/2 (2x+1)-2/3 (x-2)= 1/6 ?

The answer to 1/2 (2x+1)-2/3 (x-2)= 1/6 is x=-5

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1/2 (2x+1)-2/3 (x-2)= 1/6

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

x = - 5

Solution steps

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

Multiply by LCM

3 (2 x + 1) - 4 (x - 2) = 1

Expand

3 (2 x + 1) - 4 (x - 2) : 2 x + 11

2 x + 11 = 1

Move

11

to the right side

2 x = - 10

Divide both sides by

2

x = - 5

- 6 k + 7 k

7 + ∣ x + 4 ∣ = 12

∣ 8 y - 1 ∣ \geq 6

16 x^{2} - 100 y^{2}

\frac{x}{- 3} - 1 = 11

What is the answer to 1/2 (2x+1)-2/3 (x-2)= 1/6 ?
The answer to 1/2 (2x+1)-2/3 (x-2)= 1/6 is x=-5
Solve for x: 1/2 (2x+1)-2/3 (x-2)= 1/6
The solution is x=-5