What is the answer to (3+2x)/4 =(7-3x)/6 ?

The answer to (3+2x)/4 =(7-3x)/6 is x= 5/12

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

\frac{3 + 2 x}{4} = \frac{7 - 3 x}{6}

x = \frac{5}{12}

Decimal Notation

x = 0.41666 \dots

Solution steps

\frac{3 + 2 x}{4} = \frac{7 - 3 x}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 + 2 x) \cdot 6 = 4 (7 - 3 x)

Expand

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

Expand

4 (7 - 3 x) : 28 - 12 x

18 + 12 x = 28 - 12 x

Move

18

to the right side

12 x = - 12 x + 10

Move

12 x

to the left side

24 x = 10

Divide both sides by

24

x = \frac{5}{12}

bn = \frac{n}{1 - 2 n}

\frac{2 x}{3} + \frac{3 x}{5} = \frac{9 x}{15} + 4

a, a + 2 b + 2 b = 64

(x + 6) 2 = 36

18 n - 7 p - 15 n = 5 p

What is the answer to (3+2x)/4 =(7-3x)/6 ?
The answer to (3+2x)/4 =(7-3x)/6 is x= 5/12
Solve for x: (3+2x)/4 =(7-3x)/6
The solution is x= 5/12