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

The answer to (x-2)/3 =(x+5)/4 is x=23

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

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

x = 23

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x - 2) \cdot 4 : 4 x - 8

Expand

3 (x + 5) : 3 x + 15

4 x - 8 = 3 x + 15

Move

8

to the right side

4 x = 3 x + 23

Move

3 x

to the left side

x = 23

125 - 64 c^{3}

(2 y)^{2}

(3.25 \cdot 1 0^{3}) (7.8 \cdot 1 0^{6})

\frac{5 x - 1}{3} > 3

y + 8 > 12