-1.4(x-8)+1.2(x+2)=x+9

Solution for -1.4(x-8)+1.2(x+2)=x+9 equation:

Simplifying
-1.4(x + -8) + 1.2(x + 2) = x + 9

Reorder the terms:
-1.4(-8 + x) + 1.2(x + 2) = x + 9
(-8 * -1.4 + x * -1.4) + 1.2(x + 2) = x + 9
(11.2 + -1.4x) + 1.2(x + 2) = x + 9

Reorder the terms:
11.2 + -1.4x + 1.2(2 + x) = x + 9
11.2 + -1.4x + (2 * 1.2 + x * 1.2) = x + 9
11.2 + -1.4x + (2.4 + 1.2x) = x + 9

Reorder the terms:
11.2 + 2.4 + -1.4x + 1.2x = x + 9

Combine like terms: 11.2 + 2.4 = 13.6
13.6 + -1.4x + 1.2x = x + 9

Combine like terms: -1.4x + 1.2x = -0.2x
13.6 + -0.2x = x + 9

Reorder the terms:
13.6 + -0.2x = 9 + x

Solving
13.6 + -0.2x = 9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
13.6 + -0.2x + -1x = 9 + x + -1x

Combine like terms: -0.2x + -1x = -1.2x
13.6 + -1.2x = 9 + x + -1x

Combine like terms: x + -1x = 0
13.6 + -1.2x = 9 + 0
13.6 + -1.2x = 9

Add '-13.6' to each side of the equation.
13.6 + -13.6 + -1.2x = 9 + -13.6

Combine like terms: 13.6 + -13.6 = 0.0
0.0 + -1.2x = 9 + -13.6
-1.2x = 9 + -13.6

Combine like terms: 9 + -13.6 = -4.6
-1.2x = -4.6

Divide each side by '-1.2'.
x = 3.833333333

Simplifying
x = 3.833333333