2[3e-7]=5[6-e]

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Solution for 2[3e-7]=5[6-e] equation:


Simplifying
2[3e + -7] = 5[6 + -1e]

Reorder the terms:
2[-7 + 3e] = 5[6 + -1e]
[-7 * 2 + 3e * 2] = 5[6 + -1e]
[-14 + 6e] = 5[6 + -1e]
-14 + 6e = [6 * 5 + -1e * 5]
-14 + 6e = [30 + -5e]

Solving
-14 + 6e = 30 + -5e

Solving for variable 'e'.

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

Add '5e' to each side of the equation.
-14 + 6e + 5e = 30 + -5e + 5e

Combine like terms: 6e + 5e = 11e
-14 + 11e = 30 + -5e + 5e

Combine like terms: -5e + 5e = 0
-14 + 11e = 30 + 0
-14 + 11e = 30

Add '14' to each side of the equation.
-14 + 14 + 11e = 30 + 14

Combine like terms: -14 + 14 = 0
0 + 11e = 30 + 14
11e = 30 + 14

Combine like terms: 30 + 14 = 44
11e = 44

Divide each side by '11'.
e = 4

Simplifying
e = 4

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