-5x-5.8(x-2)=3.1x+36

Solution for -5x-5.8(x-2)=3.1x+36 equation:

Simplifying
-5x + -5.8(x + -2) = 3.1x + 36

Reorder the terms:
-5x + -5.8(-2 + x) = 3.1x + 36
-5x + (-2 * -5.8 + x * -5.8) = 3.1x + 36
-5x + (11.6 + -5.8x) = 3.1x + 36

Reorder the terms:
11.6 + -5x + -5.8x = 3.1x + 36

Combine like terms: -5x + -5.8x = -10.8x
11.6 + -10.8x = 3.1x + 36

Reorder the terms:
11.6 + -10.8x = 36 + 3.1x

Solving
11.6 + -10.8x = 36 + 3.1x

Solving for variable 'x'.

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

Add '-3.1x' to each side of the equation.
11.6 + -10.8x + -3.1x = 36 + 3.1x + -3.1x

Combine like terms: -10.8x + -3.1x = -13.9x
11.6 + -13.9x = 36 + 3.1x + -3.1x

Combine like terms: 3.1x + -3.1x = 0.0
11.6 + -13.9x = 36 + 0.0
11.6 + -13.9x = 36

Add '-11.6' to each side of the equation.
11.6 + -11.6 + -13.9x = 36 + -11.6

Combine like terms: 11.6 + -11.6 = 0.0
0.0 + -13.9x = 36 + -11.6
-13.9x = 36 + -11.6

Combine like terms: 36 + -11.6 = 24.4
-13.9x = 24.4

Divide each side by '-13.9'.
x = -1.755395683

Simplifying
x = -1.755395683