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

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


Simplifying
4e + -2(2e + 3) = 5e + 4

Reorder the terms:
4e + -2(3 + 2e) = 5e + 4
4e + (3 * -2 + 2e * -2) = 5e + 4
4e + (-6 + -4e) = 5e + 4

Reorder the terms:
-6 + 4e + -4e = 5e + 4

Combine like terms: 4e + -4e = 0
-6 + 0 = 5e + 4
-6 = 5e + 4

Reorder the terms:
-6 = 4 + 5e

Solving
-6 = 4 + 5e

Solving for variable 'e'.

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

Add '-5e' to each side of the equation.
-6 + -5e = 4 + 5e + -5e

Combine like terms: 5e + -5e = 0
-6 + -5e = 4 + 0
-6 + -5e = 4

Add '6' to each side of the equation.
-6 + 6 + -5e = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -5e = 4 + 6
-5e = 4 + 6

Combine like terms: 4 + 6 = 10
-5e = 10

Divide each side by '-5'.
e = -2

Simplifying
e = -2

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