.5(e-6)=.25(e+6)

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Solution for .5(e-6)=.25(e+6) equation:


Simplifying
0.5(e + -6) = 0.25(e + 6)

Reorder the terms:
0.5(-6 + e) = 0.25(e + 6)
(-6 * 0.5 + e * 0.5) = 0.25(e + 6)
(-3 + 0.5e) = 0.25(e + 6)

Reorder the terms:
-3 + 0.5e = 0.25(6 + e)
-3 + 0.5e = (6 * 0.25 + e * 0.25)
-3 + 0.5e = (1.5 + 0.25e)

Solving
-3 + 0.5e = 1.5 + 0.25e

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-0.25e' to each side of the equation.
-3 + 0.5e + -0.25e = 1.5 + 0.25e + -0.25e

Combine like terms: 0.5e + -0.25e = 0.25e
-3 + 0.25e = 1.5 + 0.25e + -0.25e

Combine like terms: 0.25e + -0.25e = 0.00
-3 + 0.25e = 1.5 + 0.00
-3 + 0.25e = 1.5

Add '3' to each side of the equation.
-3 + 3 + 0.25e = 1.5 + 3

Combine like terms: -3 + 3 = 0
0 + 0.25e = 1.5 + 3
0.25e = 1.5 + 3

Combine like terms: 1.5 + 3 = 4.5
0.25e = 4.5

Divide each side by '0.25'.
e = 18

Simplifying
e = 18

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