3e+7=0.5*e+2

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Solution for 3e+7=0.5*e+2 equation: 


Simplifying
3e + 7 = 0.5e + 2

Reorder the terms:
7 + 3e = 0.5e + 2

Reorder the terms:
7 + 3e = 2 + 0.5e

Solving
7 + 3e = 2 + 0.5e

Solving for variable 'e'.

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

Add '-0.5e' to each side of the equation.
7 + 3e + -0.5e = 2 + 0.5e + -0.5e

Combine like terms: 3e + -0.5e = 2.5e
7 + 2.5e = 2 + 0.5e + -0.5e

Combine like terms: 0.5e + -0.5e = 0.0
7 + 2.5e = 2 + 0.0
7 + 2.5e = 2

Add '-7' to each side of the equation.
7 + -7 + 2.5e = 2 + -7

Combine like terms: 7 + -7 = 0
0 + 2.5e = 2 + -7
2.5e = 2 + -7

Combine like terms: 2 + -7 = -5
2.5e = -5

Divide each side by '2.5'.
e = -2

Simplifying
e = -2

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