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

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

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

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

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

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

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

Combine like terms: 3x + -1x = 2x
-5 + 2x = x + 1

Reorder the terms:
-5 + 2x = 1 + x

Solving
-5 + 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.
-5 + 2x + -1x = 1 + x + -1x

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

Combine like terms: x + -1x = 0
-5 + 1x = 1 + 0
-5 + 1x = 1

Add '5' to each side of the equation.
-5 + 5 + 1x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 1 + 5
1x = 1 + 5

Combine like terms: 1 + 5 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6