x+6=-0.125(x-3)

Solution for x+6=-0.125(x-3) equation:

Simplifying
x + 6 = -0.125(x + -3)

Reorder the terms:
6 + x = -0.125(x + -3)

Reorder the terms:
6 + x = -0.125(-3 + x)
6 + x = (-3 * -0.125 + x * -0.125)
6 + x = (0.375 + -0.125x)

Solving
6 + x = 0.375 + -0.125x

Solving for variable 'x'.

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

Add '0.125x' to each side of the equation.
6 + x + 0.125x = 0.375 + -0.125x + 0.125x

Combine like terms: x + 0.125x = 1.125x
6 + 1.125x = 0.375 + -0.125x + 0.125x

Combine like terms: -0.125x + 0.125x = 0.000
6 + 1.125x = 0.375 + 0.000
6 + 1.125x = 0.375

Add '-6' to each side of the equation.
6 + -6 + 1.125x = 0.375 + -6

Combine like terms: 6 + -6 = 0
0 + 1.125x = 0.375 + -6
1.125x = 0.375 + -6

Combine like terms: 0.375 + -6 = -5.625
1.125x = -5.625

Divide each side by '1.125'.
x = -5

Simplifying
x = -5