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

The answer to (3x)/5 =(x-2)/4 is x=-10/7

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

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

x = - \frac{10}{7}

Decimal Notation

x = - 1.42857 \dots

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

12 x = 5 (x - 2)

Expand

5 (x - 2) : 5 x - 10

12 x = 5 x - 10

Move

5 x

to the left side

7 x = - 10

Divide both sides by

7

x = - \frac{10}{7}

1 + (- \frac{12}{5})

4 x + 4 y

(x - 1) (x + 1) = 2 (5 x - 10.5)

8 y - 5 < 3

25 g \geq - 100

What is the answer to (3x)/5 =(x-2)/4 ?
The answer to (3x)/5 =(x-2)/4 is x=-10/7
Solve for x: (3x)/5 =(x-2)/4
The solution is x=-10/7