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2x-4=4x+3-2\left(-5x-4\right)
Use the distributive property to multiply 2 by x-2.
2x-4=4x+3+10x+8
Use the distributive property to multiply -2 by -5x-4.
2x-4=14x+3+8
Combine 4x and 10x to get 14x.
2x-4=14x+11
Add 3 and 8 to get 11.
2x-4-14x=11
Subtract 14x from both sides.
-12x-4=11
Combine 2x and -14x to get -12x.
-12x=11+4
Add 4 to both sides.
-12x=15
Add 11 and 4 to get 15.
x=\frac{15}{-12}
Divide both sides by -12.
x=-\frac{5}{4}
Reduce the fraction \frac{15}{-12} to lowest terms by extracting and canceling out 3.