What is the answer to (x-5)/7 =(x-8)/(11) ?

The answer to (x-5)/7 =(x-8)/(11) is x=-1/4

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(x-5)/7 =(x-8)/(11)

\frac{x - 5}{7} = \frac{x - 8}{11}

x = - \frac{1}{4}

Decimal Notation

x = - 0.25

Solution steps

\frac{x - 5}{7} = \frac{x - 8}{11}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(x - 5) \cdot 11 = 7 (x - 8)

Expand

(x - 5) \cdot 11 : 11 x - 55

Expand

7 (x - 8) : 7 x - 56

11 x - 55 = 7 x - 56

Move

55

to the right side

11 x = 7 x - 1

Move

7 x

to the left side

4 x = - 1

Divide both sides by

4

x = - \frac{1}{4}

4 b - 8 = 10 - 2 b

7 + x = 18

18 x - 5 = 3 (6 x - 2)

\frac{x}{3} + \frac{x}{4} = 2 x - 17

x - 7 = 6

What is the answer to (x-5)/7 =(x-8)/(11) ?
The answer to (x-5)/7 =(x-8)/(11) is x=-1/4
Solve for x: (x-5)/7 =(x-8)/(11)
The solution is x=-1/4