5u+2=7u-10

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Solution for 5u+2=7u-10 equation: 


Simplifying
5u + 2 = 7u + -10

Reorder the terms:
2 + 5u = 7u + -10

Reorder the terms:
2 + 5u = -10 + 7u

Solving
2 + 5u = -10 + 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.
2 + 5u + -7u = -10 + 7u + -7u

Combine like terms: 5u + -7u = -2u
2 + -2u = -10 + 7u + -7u

Combine like terms: 7u + -7u = 0
2 + -2u = -10 + 0
2 + -2u = -10

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

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

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

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

Simplifying
u = 6

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