What is the answer to | 1/4 x+1/9 |+1/8 = 3/8 ?

The answer to | 1/4 x+1/9 |+1/8 = 3/8 is x=-13/9 \lor x= 5/9

Solve for x: | 1/4 x+1/9 |+1/8 = 3/8

The solution is x=-13/9 \lor x= 5/9

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\frac{1}{4} x + \frac{1}{9} + \frac{1}{8} = \frac{3}{8}

x = - \frac{13}{9} or x = \frac{5}{9}

Decimal Notation

x = - 1.44444 \dots, x = 0.55555 \dots

Solution steps

\frac{1}{4} x + \frac{1}{9} + \frac{1}{8} = \frac{3}{8}

Move

\frac{1}{8}

to the right side

\frac{1}{4} x + \frac{1}{9} = \frac{1}{4}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{1}{4} x + \frac{1}{9} = - \frac{1}{4} or \frac{1}{4} x + \frac{1}{9} = \frac{1}{4}

\frac{1}{4} x + \frac{1}{9} = - \frac{1}{4} or \frac{1}{4} x + \frac{1}{9} = \frac{1}{4}

x = - \frac{13}{9} or x = \frac{5}{9}

- 7 + 7

\frac{19 !}{3 ! ( 19 - 3 ) !}

53 w + 13 < 56 w + 16

\frac{4}{5} - \frac{4}{7}

3 < 3 x - 2 < 2 x + 4

What is the answer to | 1/4 x+1/9 |+1/8 = 3/8 ?
The answer to | 1/4 x+1/9 |+1/8 = 3/8 is x=-13/9 \lor x= 5/9
Solve for x: | 1/4 x+1/9 |+1/8 = 3/8
The solution is x=-13/9 \lor x= 5/9