5(5u-2)-9(3u-2)=10

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Solution for 5(5u-2)-9(3u-2)=10 equation: 


Simplifying
5(5u + -2) + -9(3u + -2) = 10

Reorder the terms:
5(-2 + 5u) + -9(3u + -2) = 10
(-2 * 5 + 5u * 5) + -9(3u + -2) = 10
(-10 + 25u) + -9(3u + -2) = 10

Reorder the terms:
-10 + 25u + -9(-2 + 3u) = 10
-10 + 25u + (-2 * -9 + 3u * -9) = 10
-10 + 25u + (18 + -27u) = 10

Reorder the terms:
-10 + 18 + 25u + -27u = 10

Combine like terms: -10 + 18 = 8
8 + 25u + -27u = 10

Combine like terms: 25u + -27u = -2u
8 + -2u = 10

Solving
8 + -2u = 10

Solving for variable 'u'.

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

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

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

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

Divide each side by '-2'.
u = -1

Simplifying
u = -1

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