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

The answer to x/3 =((2x+3))/7 is x=9

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

\frac{x}{3} = \frac{( 2 x + 3 )}{7}

x = 9

Solution steps

\frac{x}{3} = \frac{( 2 x + 3 )}{7}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

3 (2 x + 3) : 6 x + 9

x \cdot 7 = 6 x + 9

Move

6 x

to the left side

x = 9

x, 6 x + 5 y = 13

3 (j - 10) = 5 j - 8

3 (2 x - 1) + 5 = 6 (x + 1)

\frac{3}{7} x = 6

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