What is the answer to (2x+1)/3 =(x+4)/2 ?

The answer to (2x+1)/3 =(x+4)/2 is x=10

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

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

x = 10

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x + 1) \cdot 2 = 3 (x + 4)

Expand

(2 x + 1) \cdot 2 : 4 x + 2

Expand

3 (x + 4) : 3 x + 12

4 x + 2 = 3 x + 12

Move

2

to the right side

4 x = 3 x + 10

Move

3 x

to the left side

x = 10

lo g_{243} (81) = \frac{4}{5}

x, 6 x + 3 y = - 6

y, 4 x + 2 y - 3 = 0

3 (4 r) + 5 = 2 m

f, f (t + \frac{1}{t}) = t^{2} + \frac{1}{t ^{2}}

What is the answer to (2x+1)/3 =(x+4)/2 ?
The answer to (2x+1)/3 =(x+4)/2 is x=10
Solve for x: (2x+1)/3 =(x+4)/2
The solution is x=10