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

The answer to (4x-1)/5 =(2x+3)/2 is x=-17/2

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

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

x = - \frac{17}{2}

Decimal Notation

x = - 8.5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(4 x - 1) \cdot 2 : 8 x - 2

Expand

5 (2 x + 3) : 10 x + 15

8 x - 2 = 10 x + 15

Move

2

to the right side

8 x = 10 x + 17

Move

10 x

to the left side

- 2 x = 17

Divide both sides by

- 2

x = - \frac{17}{2}

- 5 - 9 x = 3 (1 - 3 x) - 8

- 5 = \frac{1}{2} x

x, 8 x + 2 y = - 12

x, - 2 x + y = - 8

- 3 (3 + x) + 4 (x - 6) = - 4

What is the answer to (4x-1)/5 =(2x+3)/2 ?
The answer to (4x-1)/5 =(2x+3)/2 is x=-17/2
Solve for x: (4x-1)/5 =(2x+3)/2
The solution is x=-17/2