Solve for x
x = \frac{39}{5} = 7\frac{4}{5} = 7.8
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\left(x-5\right)\times 10=4\times 7
Variable x cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by 4\left(x-5\right), the least common multiple of 4,x-5.
10x-50=4\times 7
Use the distributive property to multiply x-5 by 10.
10x-50=28
Multiply 4 and 7 to get 28.
10x=28+50
Add 50 to both sides.
10x=78
Add 28 and 50 to get 78.
x=\frac{78}{10}
Divide both sides by 10.
x=\frac{39}{5}
Reduce the fraction \frac{78}{10} to lowest terms by extracting and canceling out 2.
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