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

The answer to (5x-2)/3 =(4x+1)/2 is x=-7/2

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

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

x = - \frac{7}{2}

Decimal Notation

x = - 3.5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(5 x - 2) \cdot 2 : 10 x - 4

Expand

3 (4 x + 1) : 12 x + 3

10 x - 4 = 12 x + 3

Move

4

to the right side

10 x = 12 x + 7

Move

12 x

to the left side

- 2 x = 7

Divide both sides by

- 2

x = - \frac{7}{2}

x, x + 8 y = 23

y + \frac{5}{7} = \frac{8}{9}

r, z = r e^{i θ}

x, 8 x - y = 4

4 - (- x - 1) + 2 x = x + 9

What is the answer to (5x-2)/3 =(4x+1)/2 ?
The answer to (5x-2)/3 =(4x+1)/2 is x=-7/2
Solve for x: (5x-2)/3 =(4x+1)/2
The solution is x=-7/2