0.87x+6=x-0.5

Solution for 0.87x+6=x-0.5 equation:

Simplifying
0.87x + 6 = x + -0.5

Reorder the terms:
6 + 0.87x = x + -0.5

Reorder the terms:
6 + 0.87x = -0.5 + x

Solving
6 + 0.87x = -0.5 + 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.
6 + 0.87x + -1x = -0.5 + x + -1x

Combine like terms: 0.87x + -1x = -0.13x
6 + -0.13x = -0.5 + x + -1x

Combine like terms: x + -1x = 0
6 + -0.13x = -0.5 + 0
6 + -0.13x = -0.5

Add '-6' to each side of the equation.
6 + -6 + -0.13x = -0.5 + -6

Combine like terms: 6 + -6 = 0
0 + -0.13x = -0.5 + -6
-0.13x = -0.5 + -6

Combine like terms: -0.5 + -6 = -6.5
-0.13x = -6.5

Divide each side by '-0.13'.
x = 50

Simplifying
x = 50