Solve for x
x=\frac{z+11}{20}
Solve for z
z=20x-11
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z=12x-3-4\left(-2x+2\right)
Use the distributive property to multiply 3 by 4x-1.
z=12x-3+8x-8
Use the distributive property to multiply -4 by -2x+2.
z=20x-3-8
Combine 12x and 8x to get 20x.
z=20x-11
Subtract 8 from -3 to get -11.
20x-11=z
Swap sides so that all variable terms are on the left hand side.
20x=z+11
Add 11 to both sides.
\frac{20x}{20}=\frac{z+11}{20}
Divide both sides by 20.
x=\frac{z+11}{20}
Dividing by 20 undoes the multiplication by 20.
z=12x-3-4\left(-2x+2\right)
Use the distributive property to multiply 3 by 4x-1.
z=12x-3+8x-8
Use the distributive property to multiply -4 by -2x+2.
z=20x-3-8
Combine 12x and 8x to get 20x.
z=20x-11
Subtract 8 from -3 to get -11.
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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