# Solve for u 4/3u-4/3=-5u-1/2 43u-43=-5u-12
Combine 43 and u.
4u3-43=-5u-12
Move all terms containing u to the left side of the equation.
Add 5u to both sides of the equation.
4u3-43+5u=-12
To write 5u as a fraction with a common denominator, multiply by 33.
4u3+5u⋅33-43=-12
Combine 5u and 33.
4u3+5u⋅33-43=-12
Combine the numerators over the common denominator.
4u+5u⋅33-43=-12
Combine the numerators over the common denominator.
4u+5u⋅3-43=-12
Simplify the numerator.
Multiply 3 by 5.
4u+15u-43=-12
19u-43=-12
19u-43=-12
19u-43=-12
Multiply both sides of the equation by 3.
19u-4=-12⋅3
Remove parentheses.
19u-4=-12⋅3
Simplify -12⋅3.
Multiply -12⋅3.
Multiply 3 by -1.
19u-4=-3(12)
Combine -3 and 12.
19u-4=-32
19u-4=-32
Move the negative in front of the fraction.
19u-4=-32
19u-4=-32
Move all terms not containing u to the right side of the equation.
Add 4 to both sides of the equation.
19u=-32+4
To write 4 as a fraction with a common denominator, multiply by 22.
19u=-32+4⋅22
Combine 4 and 22.
19u=-32+4⋅22
Combine the numerators over the common denominator.
19u=-3+4⋅22
Simplify the numerator.
Multiply 4 by 2.
19u=-3+82
19u=52
19u=52
19u=52
Divide each term by 19 and simplify.
Divide each term in 19u=52 by 19.
19u19=52⋅119
Cancel the common factor of 19.
Cancel the common factor.
19u19=52⋅119
Divide u by 1.
u=52⋅119
u=52⋅119
Multiply 52⋅119.
Multiply 52 and 119.
u=52⋅19
Multiply 2 by 19.
u=538
u=538
u=538
The result can be shown in multiple forms.
Exact Form:
u=538
Decimal Form:
u=0.13157894…
Solve for u 4/3u-4/3=-5u-1/2

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