Solve for x
x=11
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\left(x+1\right)\times 3+\left(2x-2\right)\times 3=\left(2x+2\right)\times 4
Variable x cannot be equal to any of the values -1,1 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-1\right)\left(x+1\right), the least common multiple of 2x-2,x+1,x-1.
3x+3+\left(2x-2\right)\times 3=\left(2x+2\right)\times 4
Use the distributive property to multiply x+1 by 3.
3x+3+6x-6=\left(2x+2\right)\times 4
Use the distributive property to multiply 2x-2 by 3.
9x+3-6=\left(2x+2\right)\times 4
Combine 3x and 6x to get 9x.
9x-3=\left(2x+2\right)\times 4
Subtract 6 from 3 to get -3.
9x-3=8x+8
Use the distributive property to multiply 2x+2 by 4.
9x-3-8x=8
Subtract 8x from both sides.
x-3=8
Combine 9x and -8x to get x.
x=8+3
Add 3 to both sides.
x=11
Add 8 and 3 to get 11.
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Simultaneous equation
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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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