2(u+5)=8u-2

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Solution for 2(u+5)=8u-2 equation:


Simplifying
2(u + 5) = 8u + -2

Reorder the terms:
2(5 + u) = 8u + -2
(5 * 2 + u * 2) = 8u + -2
(10 + 2u) = 8u + -2

Reorder the terms:
10 + 2u = -2 + 8u

Solving
10 + 2u = -2 + 8u

Solving for variable 'u'.

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

Add '-8u' to each side of the equation.
10 + 2u + -8u = -2 + 8u + -8u

Combine like terms: 2u + -8u = -6u
10 + -6u = -2 + 8u + -8u

Combine like terms: 8u + -8u = 0
10 + -6u = -2 + 0
10 + -6u = -2

Add '-10' to each side of the equation.
10 + -10 + -6u = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -6u = -2 + -10
-6u = -2 + -10

Combine like terms: -2 + -10 = -12
-6u = -12

Divide each side by '-6'.
u = 2

Simplifying
u = 2

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