# Solve for u -6(-3+2)-3u=3(u-1)-1

-6(-3+2)-3u=3(u-1)-1
Simplify each term.
-6⋅-1-3u=3(u-1)-1
Multiply -6 by -1.
6-3u=3(u-1)-1
6-3u=3(u-1)-1
Simplify 3(u-1)-1.
Simplify each term.
Apply the distributive property.
6-3u=3u+3⋅-1-1
Multiply 3 by -1.
6-3u=3u-3-1
6-3u=3u-3-1
Subtract 1 from -3.
6-3u=3u-4
6-3u=3u-4
Move all terms containing u to the left side of the equation.
Subtract 3u from both sides of the equation.
6-3u-3u=-4
Subtract 3u from -3u.
6-6u=-4
6-6u=-4
Move all terms not containing u to the right side of the equation.
Subtract 6 from both sides of the equation.
-6u=-4-6
Subtract 6 from -4.
-6u=-10
-6u=-10
Divide each term by -6 and simplify.
Divide each term in -6u=-10 by -6.
-6u-6=-10-6
Cancel the common factor of -6.
Cancel the common factor.
-6u-6=-10-6
Divide u by 1.
u=-10-6
u=-10-6
Cancel the common factor of -10 and -6.
Factor -2 out of -10.
u=-2(5)-6
Cancel the common factors.
Factor -2 out of -6.
u=-2⋅5-2⋅3
Cancel the common factor.
u=-2⋅5-2⋅3
Rewrite the expression.
u=53
u=53
u=53
u=53
The result can be shown in multiple forms.
Exact Form:
u=53
Decimal Form:
u=1.6‾
Mixed Number Form:
u=123
Solve for u -6(-3+2)-3u=3(u-1)-1

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