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6x-8x-\left(-3\right)=4x-\left(5x+7\right)
To find the opposite of 8x-3, find the opposite of each term.
6x-8x+3=4x-\left(5x+7\right)
The opposite of -3 is 3.
-2x+3=4x-\left(5x+7\right)
Combine 6x and -8x to get -2x.
-2x+3=4x-5x-7
To find the opposite of 5x+7, find the opposite of each term.
-2x+3=-x-7
Combine 4x and -5x to get -x.
-2x+3+x=-7
Add x to both sides.
-x+3=-7
Combine -2x and x to get -x.
-x=-7-3
Subtract 3 from both sides.
-x=-10
Subtract 3 from -7 to get -10.
x=10
Multiply both sides by -1.