2(E+7)-5=3(E+1)-1

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Solution for 2(E+7)-5=3(E+1)-1 equation: 


Simplifying
2(E + 7) + -5 = 3(E + 1) + -1

Reorder the terms:
2(7 + E) + -5 = 3(E + 1) + -1
(7 * 2 + E * 2) + -5 = 3(E + 1) + -1
(14 + 2E) + -5 = 3(E + 1) + -1

Reorder the terms:
14 + -5 + 2E = 3(E + 1) + -1

Combine like terms: 14 + -5 = 9
9 + 2E = 3(E + 1) + -1

Reorder the terms:
9 + 2E = 3(1 + E) + -1
9 + 2E = (1 * 3 + E * 3) + -1
9 + 2E = (3 + 3E) + -1

Reorder the terms:
9 + 2E = 3 + -1 + 3E

Combine like terms: 3 + -1 = 2
9 + 2E = 2 + 3E

Solving
9 + 2E = 2 + 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.
9 + 2E + -3E = 2 + 3E + -3E

Combine like terms: 2E + -3E = -1E
9 + -1E = 2 + 3E + -3E

Combine like terms: 3E + -3E = 0
9 + -1E = 2 + 0
9 + -1E = 2

Add '-9' to each side of the equation.
9 + -9 + -1E = 2 + -9

Combine like terms: 9 + -9 = 0
0 + -1E = 2 + -9
-1E = 2 + -9

Combine like terms: 2 + -9 = -7
-1E = -7

Divide each side by '-1'.
E = 7

Simplifying
E = 7

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