6(x+1)=4(1+.25x)+6+3x

Solution for 6(x+1)=4(1+.25x)+6+3x equation:

Simplifying
6(x + 1) = 4(1 + 0.25x) + 6 + 3x

Reorder the terms:
6(1 + x) = 4(1 + 0.25x) + 6 + 3x
(1 * 6 + x * 6) = 4(1 + 0.25x) + 6 + 3x
(6 + 6x) = 4(1 + 0.25x) + 6 + 3x
6 + 6x = (1 * 4 + 0.25x * 4) + 6 + 3x
6 + 6x = (4 + 1x) + 6 + 3x

Reorder the terms:
6 + 6x = 4 + 6 + 1x + 3x

Combine like terms: 4 + 6 = 10
6 + 6x = 10 + 1x + 3x

Combine like terms: 1x + 3x = 4x
6 + 6x = 10 + 4x

Solving
6 + 6x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 6x + -4x = 10 + 4x + -4x

Combine like terms: 6x + -4x = 2x
6 + 2x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 2x = 10 + 0
6 + 2x = 10

Add '-6' to each side of the equation.
6 + -6 + 2x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 10 + -6
2x = 10 + -6

Combine like terms: 10 + -6 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2