4(e+3)+12e=5(e+4)+7(e+5)+5

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Solution for 4(e+3)+12e=5(e+4)+7(e+5)+5 equation:


Simplifying
4(e + 3) + 12e = 5(e + 4) + 7(e + 5) + 5

Reorder the terms:
4(3 + e) + 12e = 5(e + 4) + 7(e + 5) + 5
(3 * 4 + e * 4) + 12e = 5(e + 4) + 7(e + 5) + 5
(12 + 4e) + 12e = 5(e + 4) + 7(e + 5) + 5

Combine like terms: 4e + 12e = 16e
12 + 16e = 5(e + 4) + 7(e + 5) + 5

Reorder the terms:
12 + 16e = 5(4 + e) + 7(e + 5) + 5
12 + 16e = (4 * 5 + e * 5) + 7(e + 5) + 5
12 + 16e = (20 + 5e) + 7(e + 5) + 5

Reorder the terms:
12 + 16e = 20 + 5e + 7(5 + e) + 5
12 + 16e = 20 + 5e + (5 * 7 + e * 7) + 5
12 + 16e = 20 + 5e + (35 + 7e) + 5

Reorder the terms:
12 + 16e = 20 + 35 + 5 + 5e + 7e

Combine like terms: 20 + 35 = 55
12 + 16e = 55 + 5 + 5e + 7e

Combine like terms: 55 + 5 = 60
12 + 16e = 60 + 5e + 7e

Combine like terms: 5e + 7e = 12e
12 + 16e = 60 + 12e

Solving
12 + 16e = 60 + 12e

Solving for variable 'e'.

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

Add '-12e' to each side of the equation.
12 + 16e + -12e = 60 + 12e + -12e

Combine like terms: 16e + -12e = 4e
12 + 4e = 60 + 12e + -12e

Combine like terms: 12e + -12e = 0
12 + 4e = 60 + 0
12 + 4e = 60

Add '-12' to each side of the equation.
12 + -12 + 4e = 60 + -12

Combine like terms: 12 + -12 = 0
0 + 4e = 60 + -12
4e = 60 + -12

Combine like terms: 60 + -12 = 48
4e = 48

Divide each side by '4'.
e = 12

Simplifying
e = 12

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