x+6=1.25(x-4)

Solution for x+6=1.25(x-4) equation:

Simplifying
x + 6 = 1.25(x + -4)

Reorder the terms:
6 + x = 1.25(x + -4)

Reorder the terms:
6 + x = 1.25(-4 + x)
6 + x = (-4 * 1.25 + x * 1.25)
6 + x = (-5 + 1.25x)

Solving
6 + x = -5 + 1.25x

Solving for variable 'x'.

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

Add '-1.25x' to each side of the equation.
6 + x + -1.25x = -5 + 1.25x + -1.25x

Combine like terms: x + -1.25x = -0.25x
6 + -0.25x = -5 + 1.25x + -1.25x

Combine like terms: 1.25x + -1.25x = 0.00
6 + -0.25x = -5 + 0.00
6 + -0.25x = -5

Add '-6' to each side of the equation.
6 + -6 + -0.25x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -0.25x = -5 + -6
-0.25x = -5 + -6

Combine like terms: -5 + -6 = -11
-0.25x = -11

Divide each side by '-0.25'.
x = 44

Simplifying
x = 44