To solve this equation, we first need to simplify each side of the equation:
Left side:2x - 0.5 + (3x + 4)/3 - (2.5 - x)/2
To simplify this, first find a common denominator for the fractions. The common denominator here is 6.
(2x - 0.5) + (3x + 4)/3 - (2.5 - x)/2= 2x - 0.5 + 2(3x + 4)/6 - 3(2.5 - x)/6= 2x - 0.5 + (6x + 8)/6 - (7.5 - 3x)/6= 2x - 0.5 + (6x + 8 - 7.5 + 3x)/6= 2x - 0.5 + (9x + 0.5)/6= 2x - 0.5 + 1.5x + 0.25= 3.5x - 0.25
Right side:x + 0.625
Now, set them equal to each other and solve for x:
3.5x - 0.25 = x + 0.6253.5x - x = 0.625 + 0.252.5x = 0.875x = 0.875 / 2.5x = 0.35
Therefore, the solution to the equation is x = 0.35.
To solve this equation, we first need to simplify each side of the equation:
Left side:
2x - 0.5 + (3x + 4)/3 - (2.5 - x)/2
To simplify this, first find a common denominator for the fractions. The common denominator here is 6.
(2x - 0.5) + (3x + 4)/3 - (2.5 - x)/2
= 2x - 0.5 + 2(3x + 4)/6 - 3(2.5 - x)/6
= 2x - 0.5 + (6x + 8)/6 - (7.5 - 3x)/6
= 2x - 0.5 + (6x + 8 - 7.5 + 3x)/6
= 2x - 0.5 + (9x + 0.5)/6
= 2x - 0.5 + 1.5x + 0.25
= 3.5x - 0.25
Right side:
x + 0.625
Now, set them equal to each other and solve for x:
3.5x - 0.25 = x + 0.625
3.5x - x = 0.625 + 0.25
2.5x = 0.875
x = 0.875 / 2.5
x = 0.35
Therefore, the solution to the equation is x = 0.35.