What is the answer to (x-4)/7 =(8-3x)/5 ?

The answer to (x-4)/7 =(8-3x)/5 is x= 38/13

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(x-4)/7 =(8-3x)/5

\frac{x - 4}{7} = \frac{8 - 3 x}{5}

x = \frac{38}{13}

Decimal Notation

x = 2.92307 \dots

Solution steps

\frac{x - 4}{7} = \frac{8 - 3 x}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 4) \cdot 5 = 7 (8 - 3 x)

Expand

(x - 4) \cdot 5 : 5 x - 20

Expand

7 (8 - 3 x) : 56 - 21 x

5 x - 20 = 56 - 21 x

Move

20

to the right side

5 x = - 21 x + 76

Move

21 x

to the left side

26 x = 76

Divide both sides by

26

x = \frac{38}{13}

\frac{26 !}{4 ! ( 26 - 4 ) !}

\frac{3}{2} + \frac{1}{6}

5 x + 6 = x^{2}

\frac{5}{3 - 7 i}

10 n + 0.3 = 0.1 n + 0.3

What is the answer to (x-4)/7 =(8-3x)/5 ?
The answer to (x-4)/7 =(8-3x)/5 is x= 38/13
Solve for x: (x-4)/7 =(8-3x)/5
The solution is x= 38/13