4
6(x-2)=3(8-x)
Distribute 6 through the parentheses
6x - 12 = 3 (8 - x)
6x - 12 = 24 - 3x
Move variable to the left-hand side and change its sign
6x + 3x - 12 = 24
6x + 3x = 24 + 12
Collect like terms
6x - 3x = 24 + 12
= 9x = 24 + 12
= 9x + 36
Divide both sides of the equation by 9
9x = 36
= 4
X = 4
