2(u-6)=7u+8

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Solution for 2(u-6)=7u+8 equation:


Simplifying
2(u + -6) = 7u + 8

Reorder the terms:
2(-6 + u) = 7u + 8
(-6 * 2 + u * 2) = 7u + 8
(-12 + 2u) = 7u + 8

Reorder the terms:
-12 + 2u = 8 + 7u

Solving
-12 + 2u = 8 + 7u

Solving for variable 'u'.

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

Add '-7u' to each side of the equation.
-12 + 2u + -7u = 8 + 7u + -7u

Combine like terms: 2u + -7u = -5u
-12 + -5u = 8 + 7u + -7u

Combine like terms: 7u + -7u = 0
-12 + -5u = 8 + 0
-12 + -5u = 8

Add '12' to each side of the equation.
-12 + 12 + -5u = 8 + 12

Combine like terms: -12 + 12 = 0
0 + -5u = 8 + 12
-5u = 8 + 12

Combine like terms: 8 + 12 = 20
-5u = 20

Divide each side by '-5'.
u = -4

Simplifying
u = -4

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