6(8-e)=12(e+1)

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Solution for 6(8-e)=12(e+1) equation:


Simplifying
6(8 + -1e) = 12(e + 1)
(8 * 6 + -1e * 6) = 12(e + 1)
(48 + -6e) = 12(e + 1)

Reorder the terms:
48 + -6e = 12(1 + e)
48 + -6e = (1 * 12 + e * 12)
48 + -6e = (12 + 12e)

Solving
48 + -6e = 12 + 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.
48 + -6e + -12e = 12 + 12e + -12e

Combine like terms: -6e + -12e = -18e
48 + -18e = 12 + 12e + -12e

Combine like terms: 12e + -12e = 0
48 + -18e = 12 + 0
48 + -18e = 12

Add '-48' to each side of the equation.
48 + -48 + -18e = 12 + -48

Combine like terms: 48 + -48 = 0
0 + -18e = 12 + -48
-18e = 12 + -48

Combine like terms: 12 + -48 = -36
-18e = -36

Divide each side by '-18'.
e = 2

Simplifying
e = 2

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