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

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

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

Reorder the terms:
3 + 2(-2 + x) = x + 1
3 + (-2 * 2 + x * 2) = x + 1
3 + (-4 + 2x) = x + 1

Combine like terms: 3 + -4 = -1
-1 + 2x = x + 1

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

Solving
-1 + 2x = 1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1 + 2x + -1x = 1 + x + -1x

Combine like terms: 2x + -1x = 1x
-1 + 1x = 1 + x + -1x

Combine like terms: x + -1x = 0
-1 + 1x = 1 + 0
-1 + 1x = 1

Add '1' to each side of the equation.
-1 + 1 + 1x = 1 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = 1 + 1
1x = 1 + 1

Combine like terms: 1 + 1 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2