Solve for x
x=7
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3x-5=8\left(x-5\right)
Variable x cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by x-5.
3x-5=8x-40
Use the distributive property to multiply 8 by x-5.
3x-5-8x=-40
Subtract 8x from both sides.
-5x-5=-40
Combine 3x and -8x to get -5x.
-5x=-40+5
Add 5 to both sides.
-5x=-35
Add -40 and 5 to get -35.
x=\frac{-35}{-5}
Divide both sides by -5.
x=7
Divide -35 by -5 to get 7.
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