Solve for x
x=-2
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3\times 5\left(8-x\right)=2\left(11-32x\right)
Multiply both sides of the equation by 144, the least common multiple of 48,72.
15\left(8-x\right)=2\left(11-32x\right)
Multiply 3 and 5 to get 15.
120-15x=2\left(11-32x\right)
Use the distributive property to multiply 15 by 8-x.
120-15x=22-64x
Use the distributive property to multiply 2 by 11-32x.
120-15x+64x=22
Add 64x to both sides.
120+49x=22
Combine -15x and 64x to get 49x.
49x=22-120
Subtract 120 from both sides.
49x=-98
Subtract 120 from 22 to get -98.
x=\frac{-98}{49}
Divide both sides by 49.
x=-2
Divide -98 by 49 to get -2.
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