5e-2(4-3e)-2e=10

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Solution for 5e-2(4-3e)-2e=10 equation: 


Simplifying
5e + -2(4 + -3e) + -2e = 10
5e + (4 * -2 + -3e * -2) + -2e = 10
5e + (-8 + 6e) + -2e = 10

Reorder the terms:
-8 + 5e + 6e + -2e = 10

Combine like terms: 5e + 6e = 11e
-8 + 11e + -2e = 10

Combine like terms: 11e + -2e = 9e
-8 + 9e = 10

Solving
-8 + 9e = 10

Solving for variable 'e'.

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

Add '8' to each side of the equation.
-8 + 8 + 9e = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 9e = 10 + 8
9e = 10 + 8

Combine like terms: 10 + 8 = 18
9e = 18

Divide each side by '9'.
e = 2

Simplifying
e = 2

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