Simplify ((2x-3)/x)÷(7/(x^2))

Math
2x-3x÷7×2
To divide by a fraction, multiply by its reciprocal.
2x-3x⋅x27
Cancel the common factor of x.
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Factor x out of x2.
2x-3x⋅x⋅x7
Cancel the common factor.
2x-3x⋅x⋅x7
Rewrite the expression.
(2x-3)x7
(2x-3)x7
Apply the distributive property.
2xx7-3×7
Multiply 2xx7.
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Combine 2 and x7.
x2x7-3×7
Combine x and 2×7.
x(2x)7-3×7
Raise x to the power of 1.
2(x1x)7-3×7
Raise x to the power of 1.
2(x1x1)7-3×7
Use the power rule aman=am+n to combine exponents.
2×1+17-3×7
Add 1 and 1.
2×27-3×7
2×27-3×7
Combine -3 and x7.
2×27+-3×7
Move the negative in front of the fraction.
2×27-3×7
Simplify terms.
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Combine the numerators over the common denominator.
2×2-3×7
Factor x out of 2×2-3x.
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Factor x out of 2×2.
x(2x)-3×7
Factor x out of -3x.
x(2x)+x⋅-37
Factor x out of x(2x)+x⋅-3.
x(2x-3)7
x(2x-3)7
x(2x-3)7
Simplify ((2x-3)/x)÷(7/(x^2))

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