2(x-1)=5-2

Solution for 2(x-1)=5-2 equation:

Simplifying
2(x + -1) = 5 + -2

Reorder the terms:
2(-1 + x) = 5 + -2
(-1 * 2 + x * 2) = 5 + -2
(-2 + 2x) = 5 + -2

Combine like terms: 5 + -2 = 3
-2 + 2x = 3

Solving
-2 + 2x = 3

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 2x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 3 + 2
2x = 3 + 2

Combine like terms: 3 + 2 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5