To solve this equation, we first simplify both sides:
Left sideX + 1/4 - 2Combine like terms:
Right side5 - 3x/2 - (x + x - 3/8Simplify inside the parentheses5 - 3x/2 - 2x + 3/Combine like terms5 - 7x/2 + 3/8
Now the equation becomes-x + 1/4 = 5 - 7x/2 + 3/8
To solve for x, we begin by isolating x on one side of the equation:
Add 7x/2 to both sides7x/2 - x + 1/4 = 5 + 3/8
Multiply everything by 8 to get rid of the fractions28x - 8x + 2 = 40 + 3
Combine like terms20x + 2 = 43
Subtract 2 from both sides20x = 41
Divide by 20 to solve for xx = 41/20
Therefore, the solution to the equation is x = 41/20.
To solve this equation, we first simplify both sides:
Left side
x + 1/4X + 1/4 - 2
Combine like terms:
Right side
5 - 3x/2 - (x + x - 3/8
Simplify inside the parentheses
5 - 3x/2 - 2x + 3/
Combine like terms
5 - 7x/2 + 3/8
Now the equation becomes
-x + 1/4 = 5 - 7x/2 + 3/8
To solve for x, we begin by isolating x on one side of the equation:
Add 7x/2 to both sides
7x/2 - x + 1/4 = 5 + 3/8
Multiply everything by 8 to get rid of the fractions
28x - 8x + 2 = 40 + 3
Combine like terms
20x + 2 = 43
Subtract 2 from both sides
20x = 41
Divide by 20 to solve for x
x = 41/20
Therefore, the solution to the equation is x = 41/20.