Solve for u 5(u-1)-2=-5(-4u+2)-9u

5(u-1)-2=-5(-4u+2)-9u
Since u is on the right side of the equation, switch the sides so it is on the left side of the equation.
-5(-4u+2)-9u=5(u-1)-2
Simplify -5(-4u+2)-9u.
Simplify each term.
Apply the distributive property.
-5(-4u)-5⋅2-9u=5(u-1)-2
Multiply -4 by -5.
20u-5⋅2-9u=5(u-1)-2
Multiply -5 by 2.
20u-10-9u=5(u-1)-2
20u-10-9u=5(u-1)-2
Subtract 9u from 20u.
11u-10=5(u-1)-2
11u-10=5(u-1)-2
Simplify 5(u-1)-2.
Simplify each term.
Apply the distributive property.
11u-10=5u+5⋅-1-2
Multiply 5 by -1.
11u-10=5u-5-2
11u-10=5u-5-2
Subtract 2 from -5.
11u-10=5u-7
11u-10=5u-7
Move all terms containing u to the left side of the equation.
Subtract 5u from both sides of the equation.
11u-10-5u=-7
Subtract 5u from 11u.
6u-10=-7
6u-10=-7
Move all terms not containing u to the right side of the equation.
Add 10 to both sides of the equation.
6u=-7+10
6u=3
6u=3
Divide each term by 6 and simplify.
Divide each term in 6u=3 by 6.
6u6=36
Cancel the common factor of 6.
Cancel the common factor.
6u6=36
Divide u by 1.
u=36
u=36
Cancel the common factor of 3 and 6.
Factor 3 out of 3.
u=3(1)6
Cancel the common factors.
Factor 3 out of 6.
u=3⋅13⋅2
Cancel the common factor.
u=3⋅13⋅2
Rewrite the expression.
u=12
u=12
u=12
u=12
The result can be shown in multiple forms.
Exact Form:
u=12
Decimal Form:
u=0.5
Solve for u 5(u-1)-2=-5(-4u+2)-9u

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