Question

solve and show me the working out of 3(x-2) = -2(x+19)

Answer 1

x = -32/5

Answer 2

3(x-2)=-2(x+19)
3x-6=-2x-38
5x=-32
x=-32/5

Answer 3

distribute the 3 on the left to the parenthesis:
3x - 6 = -2 (x + 19)

Now distribute the 2 on the right side, to the parenthesis
3x - 6 = -2x - 38

Then add -2x to the other side to combine like terms.
3x - 6 = -2x - 38
+2x +2x

5x -6 = -38

Then add 6 to -38, in order to add like terms.
5x -6 = -38
+6 +6
5x = -32

Then divide 5 from each side to solve for x

5x = -32
/5 /5

Then you get:
x = -32/5