3(x-2)+1=10

Solution for 3(x-2)+1=10 equation:

Simplifying
3(x + -2) + 1 = 10

Reorder the terms:
3(-2 + x) + 1 = 10
(-2 * 3 + x * 3) + 1 = 10
(-6 + 3x) + 1 = 10

Reorder the terms:
-6 + 1 + 3x = 10

Combine like terms: -6 + 1 = -5
-5 + 3x = 10

Solving
-5 + 3x = 10

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 3x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 10 + 5
3x = 10 + 5

Combine like terms: 10 + 5 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5