2(3-a)=4(a-10)

Solution for 2(3-a)=4(a-10) equation:

Simplifying
2(3 + -1a) = 4(a + -10)
(3 * 2 + -1a * 2) = 4(a + -10)
(6 + -2a) = 4(a + -10)

Reorder the terms:
6 + -2a = 4(-10 + a)
6 + -2a = (-10 * 4 + a * 4)
6 + -2a = (-40 + 4a)

Solving
6 + -2a = -40 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
6 + -2a + -4a = -40 + 4a + -4a

Combine like terms: -2a + -4a = -6a
6 + -6a = -40 + 4a + -4a

Combine like terms: 4a + -4a = 0
6 + -6a = -40 + 0
6 + -6a = -40

Add '-6' to each side of the equation.
6 + -6 + -6a = -40 + -6

Combine like terms: 6 + -6 = 0
0 + -6a = -40 + -6
-6a = -40 + -6

Combine like terms: -40 + -6 = -46
-6a = -46

Divide each side by '-6'.
a = 7.666666667

Simplifying
a = 7.666666667