Solve the equation 0.75x-0.5+0.125x=0.5-0.5x

Answer 1

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