4(e+5)=7(2+e)

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Solution for 4(e+5)=7(2+e) equation:


Simplifying
4(e + 5) = 7(2 + e)

Reorder the terms:
4(5 + e) = 7(2 + e)
(5 * 4 + e * 4) = 7(2 + e)
(20 + 4e) = 7(2 + e)
20 + 4e = (2 * 7 + e * 7)
20 + 4e = (14 + 7e)

Solving
20 + 4e = 14 + 7e

Solving for variable 'e'.

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

Add '-7e' to each side of the equation.
20 + 4e + -7e = 14 + 7e + -7e

Combine like terms: 4e + -7e = -3e
20 + -3e = 14 + 7e + -7e

Combine like terms: 7e + -7e = 0
20 + -3e = 14 + 0
20 + -3e = 14

Add '-20' to each side of the equation.
20 + -20 + -3e = 14 + -20

Combine like terms: 20 + -20 = 0
0 + -3e = 14 + -20
-3e = 14 + -20

Combine like terms: 14 + -20 = -6
-3e = -6

Divide each side by '-3'.
e = 2

Simplifying
e = 2

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