To solve for x, we first need to distribute the 3/4 to the terms inside the parentheses:
1/2 - 3/4 * x + 9/40 = 3/8
Next, combine the like terms on the left side of the equation:
1/2 + 9/40 - 3/4 * x = 3/8
To find a common denominator, convert 1/2 to 20/40:
20/40 + 9/40 - 3/4 * x = 3/8
Combine the terms on the left side:
29/40 - 3/4 * x = 3/8
To isolate the term with x, subtract 29/40 from both sides:
-3/4 * x = 3/8 - 29/40
-3/4 * x = 15/40
Next, multiply both sides by -4/3 to solve for x:
x = 15/40 * -4/3
x = -60/120
x = -1/2
Therefore, the solution to the equation is x = -1/2.
To solve for x, we first need to distribute the 3/4 to the terms inside the parentheses:
1/2 - 3/4 * x + 9/40 = 3/8
Next, combine the like terms on the left side of the equation:
1/2 + 9/40 - 3/4 * x = 3/8
To find a common denominator, convert 1/2 to 20/40:
20/40 + 9/40 - 3/4 * x = 3/8
Combine the terms on the left side:
29/40 - 3/4 * x = 3/8
To isolate the term with x, subtract 29/40 from both sides:
-3/4 * x = 3/8 - 29/40
-3/4 * x = 15/40
Next, multiply both sides by -4/3 to solve for x:
x = 15/40 * -4/3
x = -60/120
x = -1/2
Therefore, the solution to the equation is x = -1/2.