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

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

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

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

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(2 x - 3) \cdot 3 : 6 x - 9

Expand

4 (x - 3) : 4 x - 12

6 x - 9 = 4 x - 12

Move

9

to the right side

6 x = 4 x - 3

Move

4 x

to the left side

2 x = - 3

Divide both sides by

2

x = - \frac{3}{2}

2 (2 x + 4) = 3 (x - 1) + 4

3 (2 x + 4) = 36

y, 5 (x + y) = 20 + 3 x

- 0.1 (21) + 0.95 x = 0.05 (x - 6)

- 11 w + 7 + 10 w = 19 + 2 w

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