2(x-3)+1=10

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

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

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

Reorder the terms:
-6 + 1 + 2x = 10

Combine like terms: -6 + 1 = -5
-5 + 2x = 10

Solving
-5 + 2x = 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 + 2x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 10 + 5
2x = 10 + 5

Combine like terms: 10 + 5 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5