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

The answer to ((3+5x))/5 =((4-x))/7 is x=-1/40

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

\frac{( 3 + 5 x )}{5} = \frac{( 4 - x )}{7}

x = - \frac{1}{40}

Decimal Notation

x = - 0.025

Solution steps

\frac{( 3 + 5 x )}{5} = \frac{( 4 - x )}{7}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(3 + 5 x) \cdot 7 : 21 + 35 x

Expand

5 (4 - x) : 20 - 5 x

21 + 35 x = 20 - 5 x

Move

21

to the right side

35 x = - 5 x - 1

Move

5 x

to the left side

40 x = - 1

Divide both sides by

40

x = - \frac{1}{40}

x, y - 6.37 x = - 3

- 2 = - 24 - \frac{1}{4} c

b, a = b (\frac{1}{c} - \frac{1}{d})

- \frac{4}{3} (9 - 2 k) = \frac{1}{2} (\frac{1}{3} k + 1)

x = \frac{165477 \cdot 100}{200034}

What is the answer to ((3+5x))/5 =((4-x))/7 ?
The answer to ((3+5x))/5 =((4-x))/7 is x=-1/40
Solve for x: ((3+5x))/5 =((4-x))/7
The solution is x=-1/40