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

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


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

Reorder the terms:
5(-2 + e) + -3 = 4(2e + 1) + -4
(-2 * 5 + e * 5) + -3 = 4(2e + 1) + -4
(-10 + 5e) + -3 = 4(2e + 1) + -4

Reorder the terms:
-10 + -3 + 5e = 4(2e + 1) + -4

Combine like terms: -10 + -3 = -13
-13 + 5e = 4(2e + 1) + -4

Reorder the terms:
-13 + 5e = 4(1 + 2e) + -4
-13 + 5e = (1 * 4 + 2e * 4) + -4
-13 + 5e = (4 + 8e) + -4

Reorder the terms:
-13 + 5e = 4 + -4 + 8e

Combine like terms: 4 + -4 = 0
-13 + 5e = 0 + 8e
-13 + 5e = 8e

Solving
-13 + 5e = 8e

Solving for variable 'e'.

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

Add '-8e' to each side of the equation.
-13 + 5e + -8e = 8e + -8e

Combine like terms: 5e + -8e = -3e
-13 + -3e = 8e + -8e

Combine like terms: 8e + -8e = 0
-13 + -3e = 0

Add '13' to each side of the equation.
-13 + 13 + -3e = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -3e = 0 + 13
-3e = 0 + 13

Combine like terms: 0 + 13 = 13
-3e = 13

Divide each side by '-3'.
e = -4.333333333

Simplifying
e = -4.333333333

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