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-3\left(21-x\right)=2\left(x-23\right)
Variable x cannot be equal to 23 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-23\right), the least common multiple of 23-x,3.
-63+3x=2\left(x-23\right)
Use the distributive property to multiply -3 by 21-x.
-63+3x=2x-46
Use the distributive property to multiply 2 by x-23.
-63+3x-2x=-46
Subtract 2x from both sides.
-63+x=-46
Combine 3x and -2x to get x.
x=-46+63
Add 63 to both sides.
x=17
Add -46 and 63 to get 17.