5(2u-3)-2(4u+5)=9

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Solution for 5(2u-3)-2(4u+5)=9 equation:


Simplifying
5(2u + -3) + -2(4u + 5) = 9

Reorder the terms:
5(-3 + 2u) + -2(4u + 5) = 9
(-3 * 5 + 2u * 5) + -2(4u + 5) = 9
(-15 + 10u) + -2(4u + 5) = 9

Reorder the terms:
-15 + 10u + -2(5 + 4u) = 9
-15 + 10u + (5 * -2 + 4u * -2) = 9
-15 + 10u + (-10 + -8u) = 9

Reorder the terms:
-15 + -10 + 10u + -8u = 9

Combine like terms: -15 + -10 = -25
-25 + 10u + -8u = 9

Combine like terms: 10u + -8u = 2u
-25 + 2u = 9

Solving
-25 + 2u = 9

Solving for variable 'u'.

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

Add '25' to each side of the equation.
-25 + 25 + 2u = 9 + 25

Combine like terms: -25 + 25 = 0
0 + 2u = 9 + 25
2u = 9 + 25

Combine like terms: 9 + 25 = 34
2u = 34

Divide each side by '2'.
u = 17

Simplifying
u = 17

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