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

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

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

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

x = - 5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

8 x = 5 (x - 3)

Expand

5 (x - 3) : 5 x - 15

8 x = 5 x - 15

Move

5 x

to the left side

3 x = - 15

Divide both sides by

3

x = - 5

(3 x - 2)^{2}

(9^{\frac{1}{4}})^{\frac{7}{2}}

- 3 (- x + 4) = - 9

\frac{x}{7} = 2

3 (x - 2) + 7 = 2 (x + 5)