Solve for x
x=3
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x\times 7-\left(x-1\right)\times 5=11
Variable x cannot be equal to any of the values 0,1 since division by zero is not defined. Multiply both sides of the equation by x\left(x-1\right), the least common multiple of x-1,x,x^{2}-x.
x\times 7-\left(5x-5\right)=11
Use the distributive property to multiply x-1 by 5.
x\times 7-5x+5=11
To find the opposite of 5x-5, find the opposite of each term.
2x+5=11
Combine x\times 7 and -5x to get 2x.
2x=11-5
Subtract 5 from both sides.
2x=6
Subtract 5 from 11 to get 6.
x=\frac{6}{2}
Divide both sides by 2.
x=3
Divide 6 by 2 to get 3.
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