(2x-0,5):4плюс(3xплюс 4):3-(2,5-x):2=x+0,625

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вопрос

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.