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

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

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

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

x = - 2

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

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

Expand

- 4 (x + 5) : - 4 x - 20

Expand

3 (x - 2) : 3 x - 6

- 4 x - 20 = 3 x - 6

Move

20

to the right side

- 4 x = 3 x + 14

Move

3 x

to the left side

- 7 x = 14

Divide both sides by

- 7

x = - 2

2.3 y - 4.2 = - 18

\frac{2 x + 7}{10} + \frac{2 x + 5}{6} = x + 9

- 6 x + 3 x = 15

y, \frac{13}{5} x + \frac{12}{13} y - 13 = 0

y, 3 x + y = 18

What is the answer to (x+5)/3 =(x-2)/(-4) ?
The answer to (x+5)/3 =(x-2)/(-4) is x=-2
Solve for x: (x+5)/3 =(x-2)/(-4)
The solution is x=-2