Let's first distribute the 3 to (3x-2):
3(3x-2) + 10 = 7 - 3x + 39x - 6 + 10 = 7 - 3x + 3
Combine like terms:
9x + 4 = 7 - 3x + 3
Move the -3x to the left side by adding 3x to both sides:
9x + 3x + 4 = 7 + 3
12x + 4 = 10
Subtract 4 from both sides:
12x = 6
Divide by 12:
x = 6/12x = 1/2
Therefore, x = 1/2.
Let's first distribute the 3 to (3x-2):
3(3x-2) + 10 = 7 - 3x + 3
9x - 6 + 10 = 7 - 3x + 3
Combine like terms:
9x + 4 = 7 - 3x + 3
Move the -3x to the left side by adding 3x to both sides:
9x + 3x + 4 = 7 + 3
12x + 4 = 10
Subtract 4 from both sides:
12x = 6
Divide by 12:
x = 6/12
x = 1/2
Therefore, x = 1/2.