3(x-2)+3(x+1)=-14

Solution for 3(x-2)+3(x+1)=-14 equation:

Simplifying
3(x + -2) + 3(x + 1) = -14

Reorder the terms:
3(-2 + x) + 3(x + 1) = -14
(-2 * 3 + x * 3) + 3(x + 1) = -14
(-6 + 3x) + 3(x + 1) = -14

Reorder the terms:
-6 + 3x + 3(1 + x) = -14
-6 + 3x + (1 * 3 + x * 3) = -14
-6 + 3x + (3 + 3x) = -14

Reorder the terms:
-6 + 3 + 3x + 3x = -14

Combine like terms: -6 + 3 = -3
-3 + 3x + 3x = -14

Combine like terms: 3x + 3x = 6x
-3 + 6x = -14

Solving
-3 + 6x = -14

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 6x = -14 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = -14 + 3
6x = -14 + 3

Combine like terms: -14 + 3 = -11
6x = -11

Divide each side by '6'.
x = -1.833333333

Simplifying
x = -1.833333333