.75(x+6)=3+x

Solution for .75(x+6)=3+x equation:

Simplifying
0.75(x + 6) = 3 + x

Reorder the terms:
0.75(6 + x) = 3 + x
(6 * 0.75 + x * 0.75) = 3 + x
(4.5 + 0.75x) = 3 + x

Solving
4.5 + 0.75x = 3 + 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.
4.5 + 0.75x + -1x = 3 + x + -1x

Combine like terms: 0.75x + -1x = -0.25x
4.5 + -0.25x = 3 + x + -1x

Combine like terms: x + -1x = 0
4.5 + -0.25x = 3 + 0
4.5 + -0.25x = 3

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -0.25x = 3 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -0.25x = 3 + -4.5
-0.25x = 3 + -4.5

Combine like terms: 3 + -4.5 = -1.5
-0.25x = -1.5

Divide each side by '-0.25'.
x = 6

Simplifying
x = 6