# Solve for u -5/4u-7/3=u-4/3 -54u-73=u-43
Simplify each term.
Combine u and 54.
-u⋅54-73=u-43
Move 5 to the left of u.
-5u4-73=u-43
-5u4-73=u-43
Move all terms containing u to the left side of the equation.
Subtract u from both sides of the equation.
-5u4-73-u=-43
To write -u as a fraction with a common denominator, multiply by 44.
-5u4-u⋅44-73=-43
Combine -u and 44.
-5u4+-u⋅44-73=-43
Combine the numerators over the common denominator.
-5u-u⋅44-73=-43
Simplify each term.
Simplify the numerator.
Factor u out of -5u-u⋅4.
Factor u out of -5u.
u⋅-5-u⋅44-73=-43
Factor u out of -u⋅4.
u⋅-5+u(-1⋅4)4-73=-43
Factor u out of u⋅-5+u(-1⋅4).
u(-5-1⋅4)4-73=-43
u(-5-1⋅4)4-73=-43
Multiply -1 by 4.
u(-5-4)4-73=-43
Subtract 4 from -5.
u⋅-94-73=-43
u⋅-94-73=-43
Move -9 to the left of u.
-9⋅u4-73=-43
Move the negative in front of the fraction.
-9u4-73=-43
-9u4-73=-43
-9u4-73=-43
Move all terms not containing u to the right side of the equation.
Add 73 to both sides of the equation.
-9u4=-43+73
Combine the numerators over the common denominator.
-9u4=-4+73
Add -4 and 7.
-9u4=33
Divide 3 by 3.
-9u4=1
-9u4=1
Multiply both sides of the equation by -49.
-49⋅(-9u4)=-49⋅1
Simplify both sides of the equation.
Simplify -49⋅(-9u4).
Cancel the common factor of 4.
Move the leading negative in -49 into the numerator.
-49⋅(-9u4)=-49⋅1
Move the leading negative in -9u4 into the numerator.
-49⋅-9u4=-49⋅1
Factor 4 out of -4.
4(-1)9⋅-9u4=-49⋅1
Cancel the common factor.
4⋅-19⋅-9u4=-49⋅1
Rewrite the expression.
-19⋅(-9u)=-49⋅1
-19⋅(-9u)=-49⋅1
Cancel the common factor of 9.
Factor 9 out of -9u.
-19⋅(9(-u))=-49⋅1
Cancel the common factor.
-19⋅(9(-u))=-49⋅1
Rewrite the expression.
-1⋅(-u)=-49⋅1
-1⋅(-u)=-49⋅1
Multiply.
Multiply -1 by -1.
1⋅u=-49⋅1
Multiply u by 1.
u=-49⋅1
u=-49⋅1
u=-49⋅1
Multiply -1 by 1.
u=-49
u=-49
The result can be shown in multiple forms.
Exact Form:
u=-49
Decimal Form:
u=-0.4‾
Solve for u -5/4u-7/3=u-4/3

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