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

The answer to (2x+3)/3 =(4x+6)/6 is True for all x

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

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

True for all x

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(2 x + 3) \cdot 6 : 12 x + 18

Expand

3 (4 x + 6) : 12 x + 18

12 x + 18 = 12 x + 18

Move

18

to the right side

12 x = 12 x

Move

12 x

to the left side

0 = 0

Both sides are equal

True for all x

x, - 3 x - 4 = - 5 y - 8

2 (x - 2) = x - 6

x, 5 x - y = 0

3 = 0

x, 3 x - 5 + 6 y = 0

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