8u-45=2u-3

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Solution for 8u-45=2u-3 equation:


Simplifying
8u + -45 = 2u + -3

Reorder the terms:
-45 + 8u = 2u + -3

Reorder the terms:
-45 + 8u = -3 + 2u

Solving
-45 + 8u = -3 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
-45 + 8u + -2u = -3 + 2u + -2u

Combine like terms: 8u + -2u = 6u
-45 + 6u = -3 + 2u + -2u

Combine like terms: 2u + -2u = 0
-45 + 6u = -3 + 0
-45 + 6u = -3

Add '45' to each side of the equation.
-45 + 45 + 6u = -3 + 45

Combine like terms: -45 + 45 = 0
0 + 6u = -3 + 45
6u = -3 + 45

Combine like terms: -3 + 45 = 42
6u = 42

Divide each side by '6'.
u = 7

Simplifying
u = 7

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