Solve for z
z=\frac{3}{5}=0.6
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4\left(z-2\right)+2z=z-5
Variable z cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by 4\left(z-5\right), the least common multiple of z-5,10-2z,4.
4z-8+2z=z-5
Use the distributive property to multiply 4 by z-2.
6z-8=z-5
Combine 4z and 2z to get 6z.
6z-8-z=-5
Subtract z from both sides.
5z-8=-5
Combine 6z and -z to get 5z.
5z=-5+8
Add 8 to both sides.
5z=3
Add -5 and 8 to get 3.
z=\frac{3}{5}
Divide both sides by 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}