What is the answer to (3x+5)/4 = x/2 ?

The answer to (3x+5)/4 = x/2 is x=-5

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(3x+5)/4 = x/2

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

x = - 5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x + 5) \cdot 2 = 4 x

Expand

(3 x + 5) \cdot 2 : 6 x + 10

6 x + 10 = 4 x

Move

10

to the right side

6 x = 4 x - 10

Move

4 x

to the left side

2 x = - 10

Divide both sides by

2

x = - 5

\frac{3 !}{1 ! ( 3 - 1 ) !}

2 t^{2} - 8

(\frac{21}{2})^{2}

(a + b)^{4} - (a - b)^{4}

\frac{2 x + 1}{3 x - 4} \leq - 1