Solve for k 2/3k-k+3/8=1/2

23k-k+38=12
Simplify 23k-k+38.
Combine 23 and k.
2k3-k+38=12
To write -k as a fraction with a common denominator, multiply by 33.
2k3-k⋅33+38=12
Simplify terms.
Combine -k and 33.
2k3+-k⋅33+38=12
Combine the numerators over the common denominator.
2k-k⋅33+38=12
2k-k⋅33+38=12
Simplify each term.
Simplify the numerator.
Factor k out of 2k-k⋅3.
Factor k out of 2k.
k⋅2-k⋅33+38=12
Factor k out of -k⋅3.
k⋅2+k(-1⋅3)3+38=12
Factor k out of k⋅2+k(-1⋅3).
k(2-1⋅3)3+38=12
k(2-1⋅3)3+38=12
Multiply -1 by 3.
k(2-3)3+38=12
Subtract 3 from 2.
k⋅-13+38=12
k⋅-13+38=12
Move -1 to the left of k.
-1⋅k3+38=12
Move the negative in front of the fraction.
-k3+38=12
-k3+38=12
-k3+38=12
Move all terms not containing k to the right side of the equation.
Subtract 38 from both sides of the equation.
-k3=12-38
To write 12 as a fraction with a common denominator, multiply by 44.
-k3=12⋅44-38
Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.
Multiply 12 and 44.
-k3=42⋅4-38
Multiply 2 by 4.
-k3=48-38
-k3=48-38
Combine the numerators over the common denominator.
-k3=4-38
Subtract 3 from 4.
-k3=18
-k3=18
Multiply both sides of the equation by -3.
-3⋅(-k3)=-3⋅18
Simplify both sides of the equation.
Simplify -3⋅(-k3).
Cancel the common factor of 3.
Move the leading negative in -k3 into the numerator.
-3⋅-k3=-3⋅18
Factor 3 out of -3.
3(-1)⋅-k3=-3⋅18
Cancel the common factor.
3⋅-1⋅-k3=-3⋅18
Rewrite the expression.
-1⋅(-k)=-3⋅18
-1⋅(-k)=-3⋅18
Multiply.
Multiply -1 by -1.
1⋅k=-3⋅18
Multiply k by 1.
k=-3⋅18
k=-3⋅18
k=-3⋅18
Simplify -3⋅18.
Combine -3 and 18.
k=-38
Move the negative in front of the fraction.
k=-38
k=-38
k=-38
The result can be shown in multiple forms.
Exact Form:
k=-38
Decimal Form:
k=-0.375
Solve for k 2/3k-k+3/8=1/2

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