Solve for x
x=\frac{-2z-5}{3}
Solve for z
z=\frac{-3x-5}{2}
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x+2x+3z+2-z=-3
To find the opposite of -2x-3z-2, find the opposite of each term.
3x+3z+2-z=-3
Combine x and 2x to get 3x.
3x+2z+2=-3
Combine 3z and -z to get 2z.
3x+2=-3-2z
Subtract 2z from both sides.
3x=-3-2z-2
Subtract 2 from both sides.
3x=-5-2z
Subtract 2 from -3 to get -5.
3x=-2z-5
The equation is in standard form.
\frac{3x}{3}=\frac{-2z-5}{3}
Divide both sides by 3.
x=\frac{-2z-5}{3}
Dividing by 3 undoes the multiplication by 3.
x+2x+3z+2-z=-3
To find the opposite of -2x-3z-2, find the opposite of each term.
3x+3z+2-z=-3
Combine x and 2x to get 3x.
3x+2z+2=-3
Combine 3z and -z to get 2z.
2z+2=-3-3x
Subtract 3x from both sides.
2z=-3-3x-2
Subtract 2 from both sides.
2z=-5-3x
Subtract 2 from -3 to get -5.
2z=-3x-5
The equation is in standard form.
\frac{2z}{2}=\frac{-3x-5}{2}
Divide both sides by 2.
z=\frac{-3x-5}{2}
Dividing by 2 undoes the multiplication by 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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
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