0.4(7x+14)=1.3-(x+2)

Solution for 0.4(7x+14)=1.3-(x+2) equation:

Simplifying
0.4(7x + 14) = 1.3 + -1(x + 2)

Reorder the terms:
0.4(14 + 7x) = 1.3 + -1(x + 2)
(14 * 0.4 + 7x * 0.4) = 1.3 + -1(x + 2)
(5.6 + 2.8x) = 1.3 + -1(x + 2)

Reorder the terms:
5.6 + 2.8x = 1.3 + -1(2 + x)
5.6 + 2.8x = 1.3 + (2 * -1 + x * -1)
5.6 + 2.8x = 1.3 + (-2 + -1x)

Combine like terms: 1.3 + -2 = -0.7
5.6 + 2.8x = -0.7 + -1x

Solving
5.6 + 2.8x = -0.7 + -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.
5.6 + 2.8x + x = -0.7 + -1x + x

Combine like terms: 2.8x + x = 3.8x
5.6 + 3.8x = -0.7 + -1x + x

Combine like terms: -1x + x = 0
5.6 + 3.8x = -0.7 + 0
5.6 + 3.8x = -0.7

Add '-5.6' to each side of the equation.
5.6 + -5.6 + 3.8x = -0.7 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + 3.8x = -0.7 + -5.6
3.8x = -0.7 + -5.6

Combine like terms: -0.7 + -5.6 = -6.3
3.8x = -6.3

Divide each side by '3.8'.
x = -1.657894737

Simplifying
x = -1.657894737