6+3(x-2)=4(6+x)

Solution for 6+3(x-2)=4(6+x) equation:

Simplifying
6 + 3(x + -2) = 4(6 + x)

Reorder the terms:
6 + 3(-2 + x) = 4(6 + x)
6 + (-2 * 3 + x * 3) = 4(6 + x)
6 + (-6 + 3x) = 4(6 + x)

Combine like terms: 6 + -6 = 0
0 + 3x = 4(6 + x)
3x = 4(6 + x)
3x = (6 * 4 + x * 4)
3x = (24 + 4x)

Solving
3x = 24 + 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.
3x + -4x = 24 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-1x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1x = 24 + 0
-1x = 24

Divide each side by '-1'.
x = -24

Simplifying
x = -24