0.4(5x+15)=2.4-(x+3)

Solution for 0.4(5x+15)=2.4-(x+3) equation:

Simplifying
0.4(5x + 15) = 2.4 + -1(x + 3)

Reorder the terms:
0.4(15 + 5x) = 2.4 + -1(x + 3)
(15 * 0.4 + 5x * 0.4) = 2.4 + -1(x + 3)
(6 + 2x) = 2.4 + -1(x + 3)

Reorder the terms:
6 + 2x = 2.4 + -1(3 + x)
6 + 2x = 2.4 + (3 * -1 + x * -1)
6 + 2x = 2.4 + (-3 + -1x)

Combine like terms: 2.4 + -3 = -0.6
6 + 2x = -0.6 + -1x

Solving
6 + 2x = -0.6 + -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 + 2x + x = -0.6 + -1x + x

Combine like terms: 2x + x = 3x
6 + 3x = -0.6 + -1x + x

Combine like terms: -1x + x = 0
6 + 3x = -0.6 + 0
6 + 3x = -0.6

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

Combine like terms: 6 + -6 = 0
0 + 3x = -0.6 + -6
3x = -0.6 + -6

Combine like terms: -0.6 + -6 = -6.6
3x = -6.6

Divide each side by '3'.
x = -2.2

Simplifying
x = -2.2