Solve for x
x=0
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-5x-\left(-8\right)=3\left(x-2\right)+14
To find the opposite of 5x-8, find the opposite of each term.
-5x+8=3\left(x-2\right)+14
The opposite of -8 is 8.
-5x+8=3x-6+14
Use the distributive property to multiply 3 by x-2.
-5x+8=3x+8
Add -6 and 14 to get 8.
-5x+8-3x=8
Subtract 3x from both sides.
-8x+8=8
Combine -5x and -3x to get -8x.
-8x=8-8
Subtract 8 from both sides.
-8x=0
Subtract 8 from 8 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -8 is not equal to 0, x must be equal to 0.
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