Solve for x
x=7
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\left(x-8\right)\times 5=2-x
Variable x cannot be equal to any of the values 2,8 since division by zero is not defined. Multiply both sides of the equation by \left(x-8\right)\left(x-2\right), the least common multiple of x-2,8-x.
5x-40=2-x
Use the distributive property to multiply x-8 by 5.
5x-40+x=2
Add x to both sides.
6x-40=2
Combine 5x and x to get 6x.
6x=2+40
Add 40 to both sides.
6x=42
Add 2 and 40 to get 42.
x=\frac{42}{6}
Divide both sides by 6.
x=7
Divide 42 by 6 to get 7.
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