1.5x-6=.25x+1.5

Solution for 1.5x-6=.25x+1.5 equation:

Simplifying
1.5x + -6 = 0.25x + 1.5

Reorder the terms:
-6 + 1.5x = 0.25x + 1.5

Reorder the terms:
-6 + 1.5x = 1.5 + 0.25x

Solving
-6 + 1.5x = 1.5 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
-6 + 1.5x + -0.25x = 1.5 + 0.25x + -0.25x

Combine like terms: 1.5x + -0.25x = 1.25x
-6 + 1.25x = 1.5 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
-6 + 1.25x = 1.5 + 0.00
-6 + 1.25x = 1.5

Add '6' to each side of the equation.
-6 + 6 + 1.25x = 1.5 + 6

Combine like terms: -6 + 6 = 0
0 + 1.25x = 1.5 + 6
1.25x = 1.5 + 6

Combine like terms: 1.5 + 6 = 7.5
1.25x = 7.5

Divide each side by '1.25'.
x = 6

Simplifying
x = 6