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24-6x-55=-5\left(2x+3\right)
Use the distributive property to multiply 6 by 4-x.
-31-6x=-5\left(2x+3\right)
Subtract 55 from 24 to get -31.
-31-6x=-10x-15
Use the distributive property to multiply -5 by 2x+3.
-31-6x+10x=-15
Add 10x to both sides.
-31+4x=-15
Combine -6x and 10x to get 4x.
4x=-15+31
Add 31 to both sides.
4x=16
Add -15 and 31 to get 16.
x=\frac{16}{4}
Divide both sides by 4.
x=4
Divide 16 by 4 to get 4.