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

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

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

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

x = 5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(6 x - 2) \cdot 8 : 48 x - 16

Expand

7 (5 x + 7) : 35 x + 49

48 x - 16 = 35 x + 49

Move

16

to the right side

48 x = 35 x + 65

Move

35 x

to the left side

13 x = 65

Divide both sides by

13

x = 5

\frac{x - 4}{5} = \frac{x - 2}{3}

\frac{1}{2} (2 g - 8) = - 4 (g + 1)

(8 + x)^{2} = (x + 5) (x + 7)

\frac{1}{4} s + \frac{3}{2} = \frac{1}{2} s - 1

r, F = P (1 + r t)

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