What is the answer to 1/10 (a+1)= 1/6 (2-a) ?

The answer to 1/10 (a+1)= 1/6 (2-a) is a= 7/8

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1/10 (a+1)= 1/6 (2-a)

\frac{1}{10} (a + 1) = \frac{1}{6} (2 - a)

a = \frac{7}{8}

Decimal Notation

a = 0.875

Solution steps

\frac{1}{10} (a + 1) = \frac{1}{6} (2 - a)

Expand

\frac{1}{10} (a + 1) : \frac{1}{10} a + \frac{1}{10}

Expand

\frac{1}{6} (2 - a) : \frac{1}{3} - \frac{1}{6} a

\frac{1}{10} a + \frac{1}{10} = \frac{1}{3} - \frac{1}{6} a

Move

\frac{1}{10}

to the right side

\frac{1}{10} a = \frac{7}{30} - \frac{1}{6} a

Move

\frac{1}{6} a

to the left side

\frac{4}{15} a = \frac{7}{30}

Multiply both sides by

15

4 a = \frac{7}{2}

Divide both sides by

4

a = \frac{7}{8}

\frac{2}{3 x - 4} > 5

2 x^{2} + 14 x - 36

5 6^{\frac{1}{2}}

4 x^{2} - 2 x - 6 = 0

- 0.6 (4)^{2} + 4.8 (4)

What is the answer to 1/10 (a+1)= 1/6 (2-a) ?
The answer to 1/10 (a+1)= 1/6 (2-a) is a= 7/8
Solve for a: 1/10 (a+1)= 1/6 (2-a)
The solution is a= 7/8