Question

Solve the equation 3/4x+3-2x = -1/4+1/2x+5

Answer 1

Hi there! The answer is x = -1

Let's solve this equation step by step!

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

First collect terms.

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

Subtract (1/2)x from both sides.

`- 1(3)/(4) x + 3 = 4 (3)/(4)`

Subtract 3 from both sides.

`- 1(3)/(4) x = 1 (3)/(4)`

And finally divide by -1 3/4

`x = (7)/(4) / - (7)/(4) = (7)/(4) * - (4)/(7) = - (28)/(28) = - 1`