Solve for x
x=\frac{86}{155}\approx 0.55483871
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72\left(2x-1\right)-5\left(2x+1\right)=15\left(1-x\right)-6\left(1+x\right)
Multiply both sides of the equation by 90, the least common multiple of 5,18,6,15.
144x-72-5\left(2x+1\right)=15\left(1-x\right)-6\left(1+x\right)
Use the distributive property to multiply 72 by 2x-1.
144x-72-10x-5=15\left(1-x\right)-6\left(1+x\right)
Use the distributive property to multiply -5 by 2x+1.
134x-72-5=15\left(1-x\right)-6\left(1+x\right)
Combine 144x and -10x to get 134x.
134x-77=15\left(1-x\right)-6\left(1+x\right)
Subtract 5 from -72 to get -77.
134x-77=15-15x-6\left(1+x\right)
Use the distributive property to multiply 15 by 1-x.
134x-77=15-15x-6-6x
Use the distributive property to multiply -6 by 1+x.
134x-77=9-15x-6x
Subtract 6 from 15 to get 9.
134x-77=9-21x
Combine -15x and -6x to get -21x.
134x-77+21x=9
Add 21x to both sides.
155x-77=9
Combine 134x and 21x to get 155x.
155x=9+77
Add 77 to both sides.
155x=86
Add 9 and 77 to get 86.
x=\frac{86}{155}
Divide both sides by 155.
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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
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Limits
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