0.6(5x+10)=1.6-(x+2)

Solution for 0.6(5x+10)=1.6-(x+2) equation:

Simplifying
0.6(5x + 10) = 1.6 + -1(x + 2)

Reorder the terms:
0.6(10 + 5x) = 1.6 + -1(x + 2)
(10 * 0.6 + 5x * 0.6) = 1.6 + -1(x + 2)
(6 + 3x) = 1.6 + -1(x + 2)

Reorder the terms:
6 + 3x = 1.6 + -1(2 + x)
6 + 3x = 1.6 + (2 * -1 + x * -1)
6 + 3x = 1.6 + (-2 + -1x)

Combine like terms: 1.6 + -2 = -0.4
6 + 3x = -0.4 + -1x

Solving
6 + 3x = -0.4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 3x + x = -0.4 + -1x + x

Combine like terms: 3x + x = 4x
6 + 4x = -0.4 + -1x + x

Combine like terms: -1x + x = 0
6 + 4x = -0.4 + 0
6 + 4x = -0.4

Add '-6' to each side of the equation.
6 + -6 + 4x = -0.4 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -0.4 + -6
4x = -0.4 + -6

Combine like terms: -0.4 + -6 = -6.4
4x = -6.4

Divide each side by '4'.
x = -1.6

Simplifying
x = -1.6