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

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

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

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

Remove parenthesis around (-1 + x)
-1 + x = 3(x + 2)

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

Solving
-1 + x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + x + -3x = 6 + 3x + -3x

Combine like terms: x + -3x = -2x
-1 + -2x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -2x = 6 + 0
-1 + -2x = 6

Add '1' to each side of the equation.
-1 + 1 + -2x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 6 + 1
-2x = 6 + 1

Combine like terms: 6 + 1 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5