The solution to the equation "x - 2 = 3(2-x)/4" is x = 2.
To solve for x in the equation “x - 2 = 3(2-x)/4”, you need to follow these steps:
Multiply both sides of the equation by 4 to get rid of the fraction. This gives you 4x - 8 = 3(2-x).
Expand the brackets on the right side by multiplying 3 with each term inside. This gives you 4x - 8 = 6 - 3x.
Add 3x to both sides and subtract 6 from both sides to collect the x terms on one side and the constants on the other. This gives you 7x - 14 = 0.
Add 14 to both sides and divide both sides by 7 to isolate x. This gives you x = 2.
Therefore, the solution is x = 2.