To solve this equation, we first need to simplify the expression on the left side:
((x+8)/2) + ((3-2x)/5) = 3
Simplify the fractions:
(x/2 + 8/2) + (3/5 - 2x/5) = 3
(x/2 + 4) + (3/5 - 2x/5) = 3
Now find a common denominator for the fractions in the equation:
(x/2 + 4) + (3 - 2x)/5 = 3
Now, multiply the first fraction by 5/5 and the second fraction by 2/2 to get a common denominator:
(5x/10 + 20/10) + (6 - 4x)/10 = 3
Combine the fractions:
(5x + 20 + 6 - 4x) / 10 = 3
Simplify:
(x + 26) / 10 = 3
Now, multiply both sides by 10:
x + 26 = 30
Subtract 26 from both sides:
x = 4
Therefore, the solution to the equation is x = 4.
To solve this equation, we first need to simplify the expression on the left side:
((x+8)/2) + ((3-2x)/5) = 3
Simplify the fractions:
(x/2 + 8/2) + (3/5 - 2x/5) = 3
(x/2 + 4) + (3/5 - 2x/5) = 3
Now find a common denominator for the fractions in the equation:
(x/2 + 4) + (3 - 2x)/5 = 3
Now, multiply the first fraction by 5/5 and the second fraction by 2/2 to get a common denominator:
(5x/10 + 20/10) + (6 - 4x)/10 = 3
Combine the fractions:
(5x + 20 + 6 - 4x) / 10 = 3
Simplify:
(x + 26) / 10 = 3
Now, multiply both sides by 10:
x + 26 = 30
Subtract 26 from both sides:
x = 4
Therefore, the solution to the equation is x = 4.