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

The answer to (3x)/4 =(4x-3)/5 is x=12

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

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

x = 12

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

15 x = 4 (4 x - 3)

Expand

4 (4 x - 3) : 16 x - 12

15 x = 16 x - 12

Move

16 x

to the left side

- x = - 12

Divide both sides by

- 1

x = 12

7 x + 19 = 11 x - 89

- 3 y = 6

2 x + \frac{π}{2} = 0

2 (- 4 x + 5) - 4 x + 1 = - 49 - 49

\frac{2 x - 1}{3} + \frac{3 x + 1}{4} = \frac{3 x - 1}{6} + 1