Question

(2x-3):(-0.5)=(-5x+6):2

Answer 1

( 2х - 3 ) : ( - 0,5 ) = ( - 5x + 6 ) : 2 
2( 2x - 3 ) = - 0,5( - 5x + 6 )
4x - 6 = 2,5x - 3 
4x - 2,5x = 6 - 3 
1,5x = 3 
x = 2

Answer 2

(2х – 3) : (– 0.5) = (– 5х + 6) : 3
(2х – 3) • 2 = (– 5х + 6) • (– 0.5)
4х – 6 = 2.5х – 3
4х – 2.5х = – 3 + 6
1.5х = 3
х = 2

Answer 3

To solve the equation (2x - 3)/(-0.5) = (-5x + 6)/2, you can start by simplifying both sides of the equation.

First, simplify the fractions:

(2x - 3)/(-0.5) = (-5x + 6)/2

Now, divide by -0.5 on the left side and divide by 2 on the right side to isolate x:

(2x - 3)/(-0.5) = (-5x + 6)/2

(2x - 3)/(-0.5) = (-5x + 6)/2

To get rid of the fractions, you can multiply both sides by -0.5 on the left side and by 2 on the right side:

-0.5 * (2x - 3) = 2 * (-5x + 6)

Now, distribute the constants on both sides:

-1x + 1.5 = -10x + 12

Next, add 10x to both sides to collect the x terms on one side:

-1x + 10x + 1.5 = 12

Now, combine the x terms:

9x + 1.5 = 12

Subtract 1.5 from both sides:

9x = 12 - 1.5

9x = 10.5

Finally, divide by 9 to solve for x:

x = 10.5/9

x = 1.1667 (rounded to four decimal places)

So, the solution for the equation is approximately x ≈ 1.1667.