15(e-3)=-10+(e+2)

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Solution for 15(e-3)=-10+(e+2) equation:


Simplifying
15(e + -3) = -10 + (e + 2)

Reorder the terms:
15(-3 + e) = -10 + (e + 2)
(-3 * 15 + e * 15) = -10 + (e + 2)
(-45 + 15e) = -10 + (e + 2)

Reorder the terms:
-45 + 15e = -10 + (2 + e)

Remove parenthesis around (2 + e)
-45 + 15e = -10 + 2 + e

Combine like terms: -10 + 2 = -8
-45 + 15e = -8 + e

Solving
-45 + 15e = -8 + e

Solving for variable 'e'.

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

Add '-1e' to each side of the equation.
-45 + 15e + -1e = -8 + e + -1e

Combine like terms: 15e + -1e = 14e
-45 + 14e = -8 + e + -1e

Combine like terms: e + -1e = 0
-45 + 14e = -8 + 0
-45 + 14e = -8

Add '45' to each side of the equation.
-45 + 45 + 14e = -8 + 45

Combine like terms: -45 + 45 = 0
0 + 14e = -8 + 45
14e = -8 + 45

Combine like terms: -8 + 45 = 37
14e = 37

Divide each side by '14'.
e = 2.642857143

Simplifying
e = 2.642857143

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