Solve for u 4=(3u-4)/4+(u-9)/8

Math
4=3u-44+u-98
Rewrite the equation as 3u-44+u-98=4.
3u-44+u-98=4
Factor the equation.
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To write 3u-44 as a fraction with a common denominator, multiply by 22.
3u-44⋅22+u-98=4
Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.
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Multiply 3u-44 and 22.
(3u-4)⋅24⋅2+u-98=4
Multiply 4 by 2.
(3u-4)⋅28+u-98=4
(3u-4)⋅28+u-98=4
Combine the numerators over the common denominator.
(3u-4)⋅2+u-98=4
Reorder terms.
u+2(3u-4)-98=4
Rewrite u+2(3u-4)-98 in a factored form.
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Apply the distributive property.
u+2(3u)+2⋅-4-98=4
Multiply 3 by 2.
u+6u+2⋅-4-98=4
Multiply 2 by -4.
u+6u-8-98=4
Add u and 6u.
7u-8-98=4
Subtract 9 from -8.
7u-178=4
7u-178=4
7u-178=4
Solve the equation.
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Multiply both sides of the equation by 8.
7u-17=4⋅(8)
Remove parentheses.
7u-17=4⋅(8)
Multiply 4 by 8.
7u-17=32
Move all terms not containing u to the right side of the equation.
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Add 17 to both sides of the equation.
7u=32+17
Add 32 and 17.
7u=49
7u=49
Divide each term by 7 and simplify.
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Divide each term in 7u=49 by 7.
7u7=497
Cancel the common factor of 7.
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Cancel the common factor.
7u7=497
Divide u by 1.
u=497
u=497
Divide 49 by 7.
u=7
u=7
u=7
Solve for u 4=(3u-4)/4+(u-9)/8

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