2x-3x÷7×2

To divide by a fraction, multiply by its reciprocal.

2x-3x⋅x27

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

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

Combine the numerators over the common denominator.

2×2-3×7

Factor x out of 2×2-3x.

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))