What is the answer to (x+1)/2 = x/7 ?

The answer to (x+1)/2 = x/7 is x=-7/5

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(x+1)/2 = x/7

\frac{x + 1}{2} = \frac{x}{7}

x = - \frac{7}{5}

Decimal Notation

x = - 1.4

Solution steps

\frac{x + 1}{2} = \frac{x}{7}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 1) \cdot 7 = 2 x

Expand

(x + 1) \cdot 7 : 7 x + 7

7 x + 7 = 2 x

Move

7

to the right side

7 x = 2 x - 7

Move

2 x

to the left side

5 x = - 7

Divide both sides by

5

x = - \frac{7}{5}

6 x y - 3 x - 8 y + 4

p - 5 < 3

x^{2} y^{2} - 9 z^{4}

n^{3} + 8

4 (6 - 3 x) = 96