What is the answer to (5x+21)/4 = x/2 ?

The answer to (5x+21)/4 = x/2 is x=-7

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(5x+21)/4 = x/2

\frac{5 x + 21}{4} = \frac{x}{2}

x = - 7

Solution steps

\frac{5 x + 21}{4} = \frac{x}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(5 x + 21) \cdot 2 = 4 x

Expand

(5 x + 21) \cdot 2 : 10 x + 42

10 x + 42 = 4 x

Move

42

to the right side

10 x = 4 x - 42

Move

4 x

to the left side

6 x = - 42

Divide both sides by

6

x = - 7

lo g_{8} (512)

\frac{2 - 3 x}{7} \leq 2

\frac{3}{2} x - 5 > 4

- 5 w^{2} + 13 w - 6

- 4 b - 5 > - 25