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

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

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

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

Reorder the terms:
6 + 3x = x + 6(-3 + x)
6 + 3x = x + (-3 * 6 + x * 6)
6 + 3x = x + (-18 + 6x)

Reorder the terms:
6 + 3x = -18 + x + 6x

Combine like terms: x + 6x = 7x
6 + 3x = -18 + 7x

Solving
6 + 3x = -18 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 3x + -7x = -18 + 7x + -7x

Combine like terms: 3x + -7x = -4x
6 + -4x = -18 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -4x = -18 + 0
6 + -4x = -18

Add '-6' to each side of the equation.
6 + -6 + -4x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -18 + -6
-4x = -18 + -6

Combine like terms: -18 + -6 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6