Solve for x
x=2
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-7\left(20-x\right)=6\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 7\left(x-23\right), the least common multiple of 23-x,7.
-140+7x=6\left(x-23\right)
Use the distributive property to multiply -7 by 20-x.
-140+7x=6x-138
Use the distributive property to multiply 6 by x-23.
-140+7x-6x=-138
Subtract 6x from both sides.
-140+x=-138
Combine 7x and -6x to get x.
x=-138+140
Add 140 to both sides.
x=2
Add -138 and 140 to get 2.
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