-3(x-2)=0.6(x+1)

Solution for -3(x-2)=0.6(x+1) equation:

Simplifying
-3(x + -2) = 0.6(x + 1)

Reorder the terms:
-3(-2 + x) = 0.6(x + 1)
(-2 * -3 + x * -3) = 0.6(x + 1)
(6 + -3x) = 0.6(x + 1)

Reorder the terms:
6 + -3x = 0.6(1 + x)
6 + -3x = (1 * 0.6 + x * 0.6)
6 + -3x = (0.6 + 0.6x)

Solving
6 + -3x = 0.6 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
6 + -3x + -0.6x = 0.6 + 0.6x + -0.6x

Combine like terms: -3x + -0.6x = -3.6x
6 + -3.6x = 0.6 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
6 + -3.6x = 0.6 + 0.0
6 + -3.6x = 0.6

Add '-6' to each side of the equation.
6 + -6 + -3.6x = 0.6 + -6

Combine like terms: 6 + -6 = 0
0 + -3.6x = 0.6 + -6
-3.6x = 0.6 + -6

Combine like terms: 0.6 + -6 = -5.4
-3.6x = -5.4

Divide each side by '-3.6'.
x = 1.5

Simplifying
x = 1.5