What is the answer to (2x+5)/4 =(x-3)/6 ?

The answer to (2x+5)/4 =(x-3)/6 is x=-21/4

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(2x+5)/4 =(x-3)/6

\frac{2 x + 5}{4} = \frac{x - 3}{6}

x = - \frac{21}{4}

Decimal Notation

x = - 5.25

Solution steps

\frac{2 x + 5}{4} = \frac{x - 3}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x + 5) \cdot 6 = 4 (x - 3)

Expand

(2 x + 5) \cdot 6 : 12 x + 30

Expand

4 (x - 3) : 4 x - 12

12 x + 30 = 4 x - 12

Move

30

to the right side

12 x = 4 x - 42

Move

4 x

to the left side

8 x = - 42

Divide both sides by

8

x = - \frac{21}{4}

5 = - \frac{1}{2} (2 x - 4) - 2 x

11 x - 5 x + 6 = - 24 - 9 x

3 x + 8 = 14

2 (3 x - 7) = 4 x - 6

x, 3 x - 2 y = 19

What is the answer to (2x+5)/4 =(x-3)/6 ?
The answer to (2x+5)/4 =(x-3)/6 is x=-21/4
Solve for x: (2x+5)/4 =(x-3)/6
The solution is x=-21/4