0.8x-0.6=0.9x+4.1

Solution for 0.8x-0.6=0.9x+4.1 equation:

Simplifying
0.8x + -0.6 = 0.9x + 4.1

Reorder the terms:
-0.6 + 0.8x = 0.9x + 4.1

Reorder the terms:
-0.6 + 0.8x = 4.1 + 0.9x

Solving
-0.6 + 0.8x = 4.1 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
-0.6 + 0.8x + -0.9x = 4.1 + 0.9x + -0.9x

Combine like terms: 0.8x + -0.9x = -0.1x
-0.6 + -0.1x = 4.1 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
-0.6 + -0.1x = 4.1 + 0.0
-0.6 + -0.1x = 4.1

Add '0.6' to each side of the equation.
-0.6 + 0.6 + -0.1x = 4.1 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + -0.1x = 4.1 + 0.6
-0.1x = 4.1 + 0.6

Combine like terms: 4.1 + 0.6 = 4.7
-0.1x = 4.7

Divide each side by '-0.1'.
x = -47

Simplifying
x = -47