2(5e+2)+3(2e-9)=5(8e-7)

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Solution for 2(5e+2)+3(2e-9)=5(8e-7) equation:


Simplifying
2(5e + 2) + 3(2e + -9) = 5(8e + -7)

Reorder the terms:
2(2 + 5e) + 3(2e + -9) = 5(8e + -7)
(2 * 2 + 5e * 2) + 3(2e + -9) = 5(8e + -7)
(4 + 10e) + 3(2e + -9) = 5(8e + -7)

Reorder the terms:
4 + 10e + 3(-9 + 2e) = 5(8e + -7)
4 + 10e + (-9 * 3 + 2e * 3) = 5(8e + -7)
4 + 10e + (-27 + 6e) = 5(8e + -7)

Reorder the terms:
4 + -27 + 10e + 6e = 5(8e + -7)

Combine like terms: 4 + -27 = -23
-23 + 10e + 6e = 5(8e + -7)

Combine like terms: 10e + 6e = 16e
-23 + 16e = 5(8e + -7)

Reorder the terms:
-23 + 16e = 5(-7 + 8e)
-23 + 16e = (-7 * 5 + 8e * 5)
-23 + 16e = (-35 + 40e)

Solving
-23 + 16e = -35 + 40e

Solving for variable 'e'.

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

Add '-40e' to each side of the equation.
-23 + 16e + -40e = -35 + 40e + -40e

Combine like terms: 16e + -40e = -24e
-23 + -24e = -35 + 40e + -40e

Combine like terms: 40e + -40e = 0
-23 + -24e = -35 + 0
-23 + -24e = -35

Add '23' to each side of the equation.
-23 + 23 + -24e = -35 + 23

Combine like terms: -23 + 23 = 0
0 + -24e = -35 + 23
-24e = -35 + 23

Combine like terms: -35 + 23 = -12
-24e = -12

Divide each side by '-24'.
e = 0.5

Simplifying
e = 0.5

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