(6+4x)*6=(6+x+3)*6

Solution for (6+4x)*6=(6+x+3)*6 equation:

Simplifying
(6 + 4x) * 6 = (6 + x + 3) * 6

Reorder the terms for easier multiplication:
6(6 + 4x) = (6 + x + 3) * 6
(6 * 6 + 4x * 6) = (6 + x + 3) * 6
(36 + 24x) = (6 + x + 3) * 6

Reorder the terms:
36 + 24x = (6 + 3 + x) * 6

Combine like terms: 6 + 3 = 9
36 + 24x = (9 + x) * 6

Reorder the terms for easier multiplication:
36 + 24x = 6(9 + x)
36 + 24x = (9 * 6 + x * 6)
36 + 24x = (54 + 6x)

Solving
36 + 24x = 54 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
36 + 24x + -6x = 54 + 6x + -6x

Combine like terms: 24x + -6x = 18x
36 + 18x = 54 + 6x + -6x

Combine like terms: 6x + -6x = 0
36 + 18x = 54 + 0
36 + 18x = 54

Add '-36' to each side of the equation.
36 + -36 + 18x = 54 + -36

Combine like terms: 36 + -36 = 0
0 + 18x = 54 + -36
18x = 54 + -36

Combine like terms: 54 + -36 = 18
18x = 18

Divide each side by '18'.
x = 1

Simplifying
x = 1