Solve for x
x=-3
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\left(x-7\right)\times 3=2x\times 5
Variable x cannot be equal to any of the values 0,7 since division by zero is not defined. Multiply both sides of the equation by 2x\left(x-7\right), the least common multiple of 2x,x-7.
3x-21=2x\times 5
Use the distributive property to multiply x-7 by 3.
3x-21=10x
Multiply 2 and 5 to get 10.
3x-21-10x=0
Subtract 10x from both sides.
-7x-21=0
Combine 3x and -10x to get -7x.
-7x=21
Add 21 to both sides. Anything plus zero gives itself.
x=\frac{21}{-7}
Divide both sides by -7.
x=-3
Divide 21 by -7 to get -3.
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