2e(3x)+5=2

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Solution for 2e(3x)+5=2 equation:


Simplifying
2e(3x) + 5 = 2

Remove parenthesis around (3x)
2e * 3x + 5 = 2

Reorder the terms for easier multiplication:
2 * 3e * x + 5 = 2

Multiply 2 * 3
6e * x + 5 = 2

Multiply e * x
6ex + 5 = 2

Reorder the terms:
5 + 6ex = 2

Solving
5 + 6ex = 2

Solving for variable 'e'.

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

Add '-5' to each side of the equation.
5 + -5 + 6ex = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 6ex = 2 + -5
6ex = 2 + -5

Combine like terms: 2 + -5 = -3
6ex = -3

Divide each side by '6x'.
e = -0.5x-1

Simplifying
e = -0.5x-1

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