6(e+4)=3(e+8)+15

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Solution for 6(e+4)=3(e+8)+15 equation:


Simplifying
6(e + 4) = 3(e + 8) + 15

Reorder the terms:
6(4 + e) = 3(e + 8) + 15
(4 * 6 + e * 6) = 3(e + 8) + 15
(24 + 6e) = 3(e + 8) + 15

Reorder the terms:
24 + 6e = 3(8 + e) + 15
24 + 6e = (8 * 3 + e * 3) + 15
24 + 6e = (24 + 3e) + 15

Reorder the terms:
24 + 6e = 24 + 15 + 3e

Combine like terms: 24 + 15 = 39
24 + 6e = 39 + 3e

Solving
24 + 6e = 39 + 3e

Solving for variable 'e'.

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

Add '-3e' to each side of the equation.
24 + 6e + -3e = 39 + 3e + -3e

Combine like terms: 6e + -3e = 3e
24 + 3e = 39 + 3e + -3e

Combine like terms: 3e + -3e = 0
24 + 3e = 39 + 0
24 + 3e = 39

Add '-24' to each side of the equation.
24 + -24 + 3e = 39 + -24

Combine like terms: 24 + -24 = 0
0 + 3e = 39 + -24
3e = 39 + -24

Combine like terms: 39 + -24 = 15
3e = 15

Divide each side by '3'.
e = 5

Simplifying
e = 5

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