-2(e-1)=-3-4(3e-5)

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Solution for -2(e-1)=-3-4(3e-5) equation:


Simplifying
-2(e + -1) = -3 + -4(3e + -5)

Reorder the terms:
-2(-1 + e) = -3 + -4(3e + -5)
(-1 * -2 + e * -2) = -3 + -4(3e + -5)
(2 + -2e) = -3 + -4(3e + -5)

Reorder the terms:
2 + -2e = -3 + -4(-5 + 3e)
2 + -2e = -3 + (-5 * -4 + 3e * -4)
2 + -2e = -3 + (20 + -12e)

Combine like terms: -3 + 20 = 17
2 + -2e = 17 + -12e

Solving
2 + -2e = 17 + -12e

Solving for variable 'e'.

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

Add '12e' to each side of the equation.
2 + -2e + 12e = 17 + -12e + 12e

Combine like terms: -2e + 12e = 10e
2 + 10e = 17 + -12e + 12e

Combine like terms: -12e + 12e = 0
2 + 10e = 17 + 0
2 + 10e = 17

Add '-2' to each side of the equation.
2 + -2 + 10e = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 10e = 17 + -2
10e = 17 + -2

Combine like terms: 17 + -2 = 15
10e = 15

Divide each side by '10'.
e = 1.5

Simplifying
e = 1.5

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