What is the answer to (w+3)/4 =(w-2)/2 ?

The answer to (w+3)/4 =(w-2)/2 is w=7

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(w+3)/4 =(w-2)/2

\frac{w + 3}{4} = \frac{w - 2}{2}

w = 7

Solution steps

\frac{w + 3}{4} = \frac{w - 2}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(w + 3) \cdot 2 = 4 (w - 2)

Expand

(w + 3) \cdot 2 : 2 w + 6

Expand

4 (w - 2) : 4 w - 8

2 w + 6 = 4 w - 8

Move

6

to the right side

2 w = 4 w - 14

Move

4 w

to the left side

- 2 w = - 14

Divide both sides by

- 2

w = 7

(8 x + 7) (x + 1) = 9

6 x^{2} - 17 x + 13 = 20 x^{2} - 32

∣ 1 - 4 x ∣ - 11 < - 8

3 (x + 8)^{2} = 3

(- 7 p)^{3}