Solve the equation 0.75x-0.5+0.125x=0.5-0.5x
To solve the equation, we first eliminate the decimals by multiplying every term by 100:
(100)(0.75x) + (100)(-0.5) + (100)(0.125x) = (100)(0.5) + (100)(-0.5x)
75x - 50 + 12.5x = 50 - 50x
Combine like terms:
87.5x - 50 = 50 - 50x
Now, let's isolate the x term by subtracting 87.5x and adding 50x to both sides:
87.5x + 50x - 50 = 50 - 50x + 50x
137.5x - 50 = 50
Now, isolate x by adding 50 to both sides:
137.5x - 50 + 50 = 50 + 50
137.5x = 100
Finally, divide both sides by 137.5:
x = 100 / 137.5
x ≈ 0.7273
To solve the equation 0.75x - 0.5 + 0.125x = 0.5 - 0.5x, follow these steps:
Step 1: Combine like terms on both sides of the equation.
0.875x - 0.5 = 0.5 - 0.5x
Step 2: Simplify both sides of the equation.
0.875x + 0.5x = 0.5x - 0.5 + 0.5
Step 3: Combine like terms on both sides of the equation.
1.375x = 0
Step 4: Divide both sides of the equation by 1.375 to isolate x.
1.375x/1.375 = 0/1.375
Step 5: Simplify.
x = 0
Therefore, the solution to the equation 0.75x - 0.5 + 0.125x = 0.5 - 0.5x is x = 0.
To solve the equation 0.75x - 0.5 + 0.125x = 0.5 - 0.5x, we need to combine like terms and isolate the variable (x) on one side of the equation.
Step 1: Combine like terms
0.75x + 0.125x - 0.5 + 0.5x = 0.5 - 0.5x
Combining the x terms on the left side: 0.875x - 0.5 + 0.5x = 0.5 - 0.5x
Step 2: Simplify the equation
Combine the constant terms on both sides of the equation:
0.875x + 0.5x - 0.5 = 1 - 0.5x
Combine the x terms on the left side: 1.375x - 0.5 = 1 - 0.5x
Step 3: Isolate the x term
To isolate the x term on one side of the equation, we can move the constant terms to the other side.
Add 0.5x to both sides:
1.375x - 0.5 + 0.5x = 1 - 0.5x + 0.5x
Simplifying the equation: 1.875x - 0.5 = 1
Step 4: Solve for x
To solve for x, we need to eliminate the constant term by adding 0.5 to both sides of the equation:
1.875x - 0.5 + 0.5 = 1 + 0.5
Simplifying the equation: 1.875x = 1.5
Finally, divide both sides of the equation by 1.875 to solve for x:
x = 1.5 / 1.875
x ≈ 0.8