5(2-E)-(E+4)=24-3(3+E)

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Solution for 5(2-E)-(E+4)=24-3(3+E) equation:


Simplifying
5(2 + -1E) + -1(E + 4) = 24 + -3(3 + E)
(2 * 5 + -1E * 5) + -1(E + 4) = 24 + -3(3 + E)
(10 + -5E) + -1(E + 4) = 24 + -3(3 + E)

Reorder the terms:
10 + -5E + -1(4 + E) = 24 + -3(3 + E)
10 + -5E + (4 * -1 + E * -1) = 24 + -3(3 + E)
10 + -5E + (-4 + -1E) = 24 + -3(3 + E)

Reorder the terms:
10 + -4 + -5E + -1E = 24 + -3(3 + E)

Combine like terms: 10 + -4 = 6
6 + -5E + -1E = 24 + -3(3 + E)

Combine like terms: -5E + -1E = -6E
6 + -6E = 24 + -3(3 + E)
6 + -6E = 24 + (3 * -3 + E * -3)
6 + -6E = 24 + (-9 + -3E)

Combine like terms: 24 + -9 = 15
6 + -6E = 15 + -3E

Solving
6 + -6E = 15 + -3E

Solving for variable 'E'.

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

Add '3E' to each side of the equation.
6 + -6E + 3E = 15 + -3E + 3E

Combine like terms: -6E + 3E = -3E
6 + -3E = 15 + -3E + 3E

Combine like terms: -3E + 3E = 0
6 + -3E = 15 + 0
6 + -3E = 15

Add '-6' to each side of the equation.
6 + -6 + -3E = 15 + -6

Combine like terms: 6 + -6 = 0
0 + -3E = 15 + -6
-3E = 15 + -6

Combine like terms: 15 + -6 = 9
-3E = 9

Divide each side by '-3'.
E = -3

Simplifying
E = -3

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