5(4e-2)=5(3e+4)

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Solution for 5(4e-2)=5(3e+4) equation:


Simplifying
5(4e + -2) = 5(3e + 4)

Reorder the terms:
5(-2 + 4e) = 5(3e + 4)
(-2 * 5 + 4e * 5) = 5(3e + 4)
(-10 + 20e) = 5(3e + 4)

Reorder the terms:
-10 + 20e = 5(4 + 3e)
-10 + 20e = (4 * 5 + 3e * 5)
-10 + 20e = (20 + 15e)

Solving
-10 + 20e = 20 + 15e

Solving for variable 'e'.

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

Add '-15e' to each side of the equation.
-10 + 20e + -15e = 20 + 15e + -15e

Combine like terms: 20e + -15e = 5e
-10 + 5e = 20 + 15e + -15e

Combine like terms: 15e + -15e = 0
-10 + 5e = 20 + 0
-10 + 5e = 20

Add '10' to each side of the equation.
-10 + 10 + 5e = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 5e = 20 + 10
5e = 20 + 10

Combine like terms: 20 + 10 = 30
5e = 30

Divide each side by '5'.
e = 6

Simplifying
e = 6

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