8(e-1)=5(e+2)

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Solution for 8(e-1)=5(e+2) equation:


Simplifying
8(e + -1) = 5(e + 2)

Reorder the terms:
8(-1 + e) = 5(e + 2)
(-1 * 8 + e * 8) = 5(e + 2)
(-8 + 8e) = 5(e + 2)

Reorder the terms:
-8 + 8e = 5(2 + e)
-8 + 8e = (2 * 5 + e * 5)
-8 + 8e = (10 + 5e)

Solving
-8 + 8e = 10 + 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.
-8 + 8e + -5e = 10 + 5e + -5e

Combine like terms: 8e + -5e = 3e
-8 + 3e = 10 + 5e + -5e

Combine like terms: 5e + -5e = 0
-8 + 3e = 10 + 0
-8 + 3e = 10

Add '8' to each side of the equation.
-8 + 8 + 3e = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 3e = 10 + 8
3e = 10 + 8

Combine like terms: 10 + 8 = 18
3e = 18

Divide each side by '3'.
e = 6

Simplifying
e = 6

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