3(x-2)+2(x+1)=-19

Solution for 3(x-2)+2(x+1)=-19 equation:

Simplifying
3(x + -2) + 2(x + 1) = -19

Reorder the terms:
3(-2 + x) + 2(x + 1) = -19
(-2 * 3 + x * 3) + 2(x + 1) = -19
(-6 + 3x) + 2(x + 1) = -19

Reorder the terms:
-6 + 3x + 2(1 + x) = -19
-6 + 3x + (1 * 2 + x * 2) = -19
-6 + 3x + (2 + 2x) = -19

Reorder the terms:
-6 + 2 + 3x + 2x = -19

Combine like terms: -6 + 2 = -4
-4 + 3x + 2x = -19

Combine like terms: 3x + 2x = 5x
-4 + 5x = -19

Solving
-4 + 5x = -19

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 5x = -19 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = -19 + 4
5x = -19 + 4

Combine like terms: -19 + 4 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3