What is the answer to (3x)/4 =(x+1)/2 ?

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

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(3x)/4 =(x+1)/2

\frac{3 x}{4} = \frac{x + 1}{2}

x = 2

Solution steps

\frac{3 x}{4} = \frac{x + 1}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

3 x \cdot 2 = 4 (x + 1)

Simplify

6 x = 4 (x + 1)

Expand

4 (x + 1) : 4 x + 4

6 x = 4 x + 4

Move

4 x

to the left side

2 x = 4

Divide both sides by

2

x = 2

\frac{i ^{4} - i ^{2}}{i ^{3}}

- 2 + \frac{2}{5} b - \frac{1}{4} b + 6

\frac{5}{4} (- 8)

\frac{1}{3} \leq \frac{x + 1}{5} < \frac{5}{4}

6 (4 x - 10) = 84