e+5(e+2)=46

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Solution for e+5(e+2)=46 equation:


Simplifying
e + 5(e + 2) = 46

Reorder the terms:
e + 5(2 + e) = 46
e + (2 * 5 + e * 5) = 46
e + (10 + 5e) = 46

Reorder the terms:
10 + e + 5e = 46

Combine like terms: e + 5e = 6e
10 + 6e = 46

Solving
10 + 6e = 46

Solving for variable 'e'.

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

Add '-10' to each side of the equation.
10 + -10 + 6e = 46 + -10

Combine like terms: 10 + -10 = 0
0 + 6e = 46 + -10
6e = 46 + -10

Combine like terms: 46 + -10 = 36
6e = 36

Divide each side by '6'.
e = 6

Simplifying
e = 6

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