What is the answer to (4x+2)/9-(4x+1)/2 = 1/6 ?

The answer to (4x+2)/9-(4x+1)/2 = 1/6 is x=-2/7

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(4x+2)/9-(4x+1)/2 = 1/6

\frac{4 x + 2}{9} - \frac{4 x + 1}{2} = \frac{1}{6}

x = - \frac{2}{7}

Decimal Notation

x = - 0.28571 \dots

Solution steps

\frac{4 x + 2}{9} - \frac{4 x + 1}{2} = \frac{1}{6}

Multiply by LCM

2 (4 x + 2) - 9 (4 x + 1) = 3

Expand

2 (4 x + 2) - 9 (4 x + 1) : - 28 x - 5

- 28 x - 5 = 3

Move

5

to the right side

- 28 x = 8

Divide both sides by

- 28

x = - \frac{2}{7}

x^{2} + 20 x = - 68

\frac{x}{2} - 2 = \frac{4 x}{3} + 8

q - 12 = 1

x^{2} - 2 x + 11 = 0

2 x + 3 (0) = 5 x - 0

What is the answer to (4x+2)/9-(4x+1)/2 = 1/6 ?
The answer to (4x+2)/9-(4x+1)/2 = 1/6 is x=-2/7
Solve for x: (4x+2)/9-(4x+1)/2 = 1/6
The solution is x=-2/7