Solve for x
x = -\frac{55}{3} = -18\frac{1}{3} \approx -18.333333333
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17x-x-2-\left(x+3\right)=12\left(x-5\right)
To find the opposite of x+2, find the opposite of each term.
16x-2-\left(x+3\right)=12\left(x-5\right)
Combine 17x and -x to get 16x.
16x-2-x-3=12\left(x-5\right)
To find the opposite of x+3, find the opposite of each term.
15x-2-3=12\left(x-5\right)
Combine 16x and -x to get 15x.
15x-5=12\left(x-5\right)
Subtract 3 from -2 to get -5.
15x-5=12x-60
Use the distributive property to multiply 12 by x-5.
15x-5-12x=-60
Subtract 12x from both sides.
3x-5=-60
Combine 15x and -12x to get 3x.
3x=-60+5
Add 5 to both sides.
3x=-55
Add -60 and 5 to get -55.
x=\frac{-55}{3}
Divide both sides by 3.
x=-\frac{55}{3}
Fraction \frac{-55}{3} can be rewritten as -\frac{55}{3} by extracting the negative sign.
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