6+0.75x=2x+1

Solution for 6+0.75x=2x+1 equation:

Simplifying
6 + 0.75x = 2x + 1

Reorder the terms:
6 + 0.75x = 1 + 2x

Solving
6 + 0.75x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 0.75x + -2x = 1 + 2x + -2x

Combine like terms: 0.75x + -2x = -1.25x
6 + -1.25x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -1.25x = 1 + 0
6 + -1.25x = 1

Add '-6' to each side of the equation.
6 + -6 + -1.25x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -1.25x = 1 + -6
-1.25x = 1 + -6

Combine like terms: 1 + -6 = -5
-1.25x = -5

Divide each side by '-1.25'.
x = 4

Simplifying
x = 4