2(2n-3)=2(3n-10)

Solution for 2(2n-3)=2(3n-10) equation:

Simplifying
2(2n + -3) = 2(3n + -10)

Reorder the terms:
2(-3 + 2n) = 2(3n + -10)
(-3 * 2 + 2n * 2) = 2(3n + -10)
(-6 + 4n) = 2(3n + -10)

Reorder the terms:
-6 + 4n = 2(-10 + 3n)
-6 + 4n = (-10 * 2 + 3n * 2)
-6 + 4n = (-20 + 6n)

Solving
-6 + 4n = -20 + 6n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-6n' to each side of the equation.
-6 + 4n + -6n = -20 + 6n + -6n

Combine like terms: 4n + -6n = -2n
-6 + -2n = -20 + 6n + -6n

Combine like terms: 6n + -6n = 0
-6 + -2n = -20 + 0
-6 + -2n = -20

Add '6' to each side of the equation.
-6 + 6 + -2n = -20 + 6

Combine like terms: -6 + 6 = 0
0 + -2n = -20 + 6
-2n = -20 + 6

Combine like terms: -20 + 6 = -14
-2n = -14

Divide each side by '-2'.
n = 7

Simplifying
n = 7