2e(x)=3e(-x)+5

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


Simplifying
2e(x) = 3e(-1x) + 5

Multiply e * x
2ex = 3e(-1x) + 5

Remove parenthesis around (-1x)
2ex = 3e * -1x + 5

Reorder the terms for easier multiplication:
2ex = 3 * -1e * x + 5

Multiply 3 * -1
2ex = -3e * x + 5

Multiply e * x
2ex = -3ex + 5

Reorder the terms:
2ex = 5 + -3ex

Solving
2ex = 5 + -3ex

Solving for variable 'e'.

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

Add '3ex' to each side of the equation.
2ex + 3ex = 5 + -3ex + 3ex

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

Combine like terms: -3ex + 3ex = 0
5ex = 5 + 0
5ex = 5

Divide each side by '5x'.
e = x-1

Simplifying
e = x-1

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