Solve for l 230=2l+4/3l

Math
230=2l+43l
Rewrite the equation as 2l+43l=230.
2l+43l=230
Simplify 2l+43l.
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Combine 43 and l.
2l+4l3=230
To write 2l as a fraction with a common denominator, multiply by 33.
2l⋅33+4l3=230
Simplify terms.
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Combine 2l and 33.
2l⋅33+4l3=230
Combine the numerators over the common denominator.
2l⋅3+4l3=230
2l⋅3+4l3=230
Simplify the numerator.
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Factor 2l out of 2l⋅3+4l.
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Factor 2l out of 2l⋅3.
2l(3)+4l3=230
Factor 2l out of 4l.
2l(3)+2l(2)3=230
Factor 2l out of 2l(3)+2l(2).
2l(3+2)3=230
2l(3+2)3=230
Add 3 and 2.
2l⋅53=230
Multiply 5 by 2.
10l3=230
10l3=230
10l3=230
Multiply both sides of the equation by 310.
310⋅10l3=310⋅230
Simplify both sides of the equation.
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Simplify 310⋅10l3.
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Cancel the common factor of 3.
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Cancel the common factor.
310⋅10l3=310⋅230
Rewrite the expression.
110⋅(10l)=310⋅230
110⋅(10l)=310⋅230
Cancel the common factor of 10.
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Factor 10 out of 10l.
110⋅(10(l))=310⋅230
Cancel the common factor.
110⋅(10l)=310⋅230
Rewrite the expression.
l=310⋅230
l=310⋅230
l=310⋅230
Simplify 310⋅230.
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Cancel the common factor of 10.
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Factor 10 out of 230.
l=310⋅(10(23))
Cancel the common factor.
l=310⋅(10⋅23)
Rewrite the expression.
l=3⋅23
l=3⋅23
Multiply 3 by 23.
l=69
l=69
l=69
Solve for l 230=2l+4/3l

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