What is the answer to (8x+7)/6 =(5x+2)/7 ?

The answer to (8x+7)/6 =(5x+2)/7 is x=-37/26

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(8x+7)/6 =(5x+2)/7

\frac{8 x + 7}{6} = \frac{5 x + 2}{7}

x = - \frac{37}{26}

Decimal Notation

x = - 1.42307 \dots

Solution steps

\frac{8 x + 7}{6} = \frac{5 x + 2}{7}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(8 x + 7) \cdot 7 = 6 (5 x + 2)

Expand

(8 x + 7) \cdot 7 : 56 x + 49

Expand

6 (5 x + 2) : 30 x + 12

56 x + 49 = 30 x + 12

Move

49

to the right side

56 x = 30 x - 37

Move

30 x

to the left side

26 x = - 37

Divide both sides by

26

x = - \frac{37}{26}

15 + 40 + 65 + 100 + 125

\frac{8 !}{( 2 ! \cdot 6 ! )}

55 = \frac{t ^{2} - t}{2}

s + 9 \geq - 25

12 x + 20 > 4 (2 x + 2)

What is the answer to (8x+7)/6 =(5x+2)/7 ?
The answer to (8x+7)/6 =(5x+2)/7 is x=-37/26
Solve for x: (8x+7)/6 =(5x+2)/7
The solution is x=-37/26