6(x+1)=x+3(x-2)

Solution for 6(x+1)=x+3(x-2) equation:

Simplifying
6(x + 1) = x + 3(x + -2)

Reorder the terms:
6(1 + x) = x + 3(x + -2)
(1 * 6 + x * 6) = x + 3(x + -2)
(6 + 6x) = x + 3(x + -2)

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

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

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

Solving
6 + 6x = -6 + 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 = -6 + 4x + -4x

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

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

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

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

Combine like terms: -6 + -6 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6