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9x-8=-\left(-5x\right)-4
To find the opposite of -5x+4, find the opposite of each term.
9x-8=5x-4
The opposite of -5x is 5x.
9x-8-5x=-4
Subtract 5x from both sides.
4x-8=-4
Combine 9x and -5x to get 4x.
4x=-4+8
Add 8 to both sides.
4x=4
Add -4 and 8 to get 4.
x=\frac{4}{4}
Divide both sides by 4.
x=1
Divide 4 by 4 to get 1.