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\left(x-5\right)\times 3+7=2x+1
Variable x cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by x-5.
3x-15+7=2x+1
Use the distributive property to multiply x-5 by 3.
3x-8=2x+1
Add -15 and 7 to get -8.
3x-8-2x=1
Subtract 2x from both sides.
x-8=1
Combine 3x and -2x to get x.
x=1+8
Add 8 to both sides.
x=9
Add 1 and 8 to get 9.