What is the answer to (2x+7)/6 =(3x+8)/7 ?

The answer to (2x+7)/6 =(3x+8)/7 is x= 1/4

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(2x+7)/6 =(3x+8)/7

\frac{2 x + 7}{6} = \frac{3 x + 8}{7}

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

\frac{2 x + 7}{6} = \frac{3 x + 8}{7}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x + 7) \cdot 7 = 6 (3 x + 8)

Expand

(2 x + 7) \cdot 7 : 14 x + 49

Expand

6 (3 x + 8) : 18 x + 48

14 x + 49 = 18 x + 48

Move

49

to the right side

14 x = 18 x - 1

Move

18 x

to the left side

- 4 x = - 1

Divide both sides by

- 4

x = \frac{1}{4}

2 x - 1 = x + 4

33 t - 99 = 0

4 = 2

4 (t + 1) = 6 t - 1

0 = - 4 x

What is the answer to (2x+7)/6 =(3x+8)/7 ?
The answer to (2x+7)/6 =(3x+8)/7 is x= 1/4
Solve for x: (2x+7)/6 =(3x+8)/7
The solution is x= 1/4