What is the answer to 4 1/6-1 1/3 x=4x+3 5/18 ?

The answer to 4 1/6-1 1/3 x=4x+3 5/18 is x= 1/6

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4 1/6-1 1/3 x=4x+3 5/18

4 \frac{1}{6} - 1 \frac{1}{3} x = 4 x + 3 \frac{5}{18}

x = \frac{1}{6}

Decimal Notation

x = 0.16666 \dots

Solution steps

4 \frac{1}{6} - 1 \frac{1}{3} x = 4 x + 3 \frac{5}{18}

Convert mixed numbers to improper fractions:

4 \frac{1}{6} = \frac{25}{6}

\frac{25}{6} - 1 \frac{1}{3} x = 4 x + 3 \frac{5}{18}

Convert mixed numbers to improper fractions:

1 \frac{1}{3} = \frac{4}{3}

\frac{25}{6} - \frac{4}{3} x = 4 x + 3 \frac{5}{18}

Convert mixed numbers to improper fractions:

3 \frac{5}{18} = \frac{59}{18}

\frac{25}{6} - \frac{4}{3} x = 4 x + \frac{59}{18}

Move

\frac{25}{6}

to the right side

- \frac{4}{3} x = 4 x - \frac{8}{9}

Move

4 x

to the left side

- \frac{16}{3} x = - \frac{8}{9}

Multiply both sides by

3

- 16 x = - \frac{8}{3}

Divide both sides by

- 16

x = \frac{1}{6}

\frac{3 x}{4} + \frac{2 x}{3} = \frac{7 x}{6} + 10

5 (x - 5) - 3 (x - 2) = 6 (x - 3) + 4 (10 - x)

x + 2 \frac{1}{2} = \frac{4 x + 3}{4} - \frac{2 - 3 x}{8}

7 x - 4 = 5 x + 6

k, 5 k = \frac{11 k}{5 t} + 9 t

What is the answer to 4 1/6-1 1/3 x=4x+3 5/18 ?
The answer to 4 1/6-1 1/3 x=4x+3 5/18 is x= 1/6
Solve for x: 4 1/6-1 1/3 x=4x+3 5/18
The solution is x= 1/6