What is the answer to (4x-3)/2 =(5x+1)/3 ?

The answer to (4x-3)/2 =(5x+1)/3 is x= 11/2

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(4x-3)/2 =(5x+1)/3

\frac{4 x - 3}{2} = \frac{5 x + 1}{3}

x = \frac{11}{2}

Decimal Notation

x = 5.5

Solution steps

\frac{4 x - 3}{2} = \frac{5 x + 1}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(4 x - 3) \cdot 3 = 2 (5 x + 1)

Expand

(4 x - 3) \cdot 3 : 12 x - 9

Expand

2 (5 x + 1) : 10 x + 2

12 x - 9 = 10 x + 2

Move

9

to the right side

12 x = 10 x + 11

Move

10 x

to the left side

2 x = 11

Divide both sides by

2

x = \frac{11}{2}

lo g_{10} (\frac{1}{100000}) = - 5

\frac{2}{5} + \frac{3}{5} n - \frac{11}{5} = \frac{2}{5} n + \frac{1}{5}

5 - \frac{3}{10} z + 2 = \frac{6}{5} z - \frac{1}{2} z + 3

- 14 = - 11 + \frac{n}{5}

x, 5 x - y = 10

What is the answer to (4x-3)/2 =(5x+1)/3 ?
The answer to (4x-3)/2 =(5x+1)/3 is x= 11/2
Solve for x: (4x-3)/2 =(5x+1)/3
The solution is x= 11/2