(3×2-2x+5)-(2×2+2x-3)

Apply the distributive property.

3×2-2x+5-(2×2)-(2x)–3

Simplify.

Multiply 2 by -1.

3×2-2x+5-2×2-(2x)–3

Multiply 2 by -1.

3×2-2x+5-2×2-2x–3

Multiply -1 by -3.

3×2-2x+5-2×2-2x+3

3×2-2x+5-2×2-2x+3

3×2-2x+5-2×2-2x+3

Subtract 2×2 from 3×2.

x2-2x+5-2x+3

Subtract 2x from -2x.

x2-4x+5+3

Add 5 and 3.

x2-4x+8

x2-4x+8

Simplify (3x^2-2x+5)-(2x^2+2x-3)