Solve for x
x=-11
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2\left(x-4\right)=-3\left(5+5\right)
Variable x cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-4\right), the least common multiple of 3,4-x.
2x-8=-3\left(5+5\right)
Use the distributive property to multiply 2 by x-4.
2x-8=-3\times 10
Add 5 and 5 to get 10.
2x-8=-30
Multiply -3 and 10 to get -30.
2x=-30+8
Add 8 to both sides.
2x=-22
Add -30 and 8 to get -22.
x=\frac{-22}{2}
Divide both sides by 2.
x=-11
Divide -22 by 2 to get -11.
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