3(e-1)=2(e+6)

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Solution for 3(e-1)=2(e+6) equation:


Simplifying
3(e + -1) = 2(e + 6)

Reorder the terms:
3(-1 + e) = 2(e + 6)
(-1 * 3 + e * 3) = 2(e + 6)
(-3 + 3e) = 2(e + 6)

Reorder the terms:
-3 + 3e = 2(6 + e)
-3 + 3e = (6 * 2 + e * 2)
-3 + 3e = (12 + 2e)

Solving
-3 + 3e = 12 + 2e

Solving for variable 'e'.

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

Add '-2e' to each side of the equation.
-3 + 3e + -2e = 12 + 2e + -2e

Combine like terms: 3e + -2e = 1e
-3 + 1e = 12 + 2e + -2e

Combine like terms: 2e + -2e = 0
-3 + 1e = 12 + 0
-3 + 1e = 12

Add '3' to each side of the equation.
-3 + 3 + 1e = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 1e = 12 + 3
1e = 12 + 3

Combine like terms: 12 + 3 = 15
1e = 15

Divide each side by '1'.
e = 15

Simplifying
e = 15

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