Solve for k
k=4
Share
Copied to clipboard
-30-4k=-24k+42+8
Use the distributive property to multiply -6 by 4k-7.
-30-4k=-24k+50
Add 42 and 8 to get 50.
-30-4k+24k=50
Add 24k to both sides.
-30+20k=50
Combine -4k and 24k to get 20k.
20k=50+30
Add 30 to both sides.
20k=80
Add 50 and 30 to get 80.
k=\frac{80}{20}
Divide both sides by 20.
k=4
Divide 80 by 20 to get 4.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}