5x-3(x-2)=x+6

Solution for 5x-3(x-2)=x+6 equation:

Simplifying
5x + -3(x + -2) = x + 6

Reorder the terms:
5x + -3(-2 + x) = x + 6
5x + (-2 * -3 + x * -3) = x + 6
5x + (6 + -3x) = x + 6

Reorder the terms:
6 + 5x + -3x = x + 6

Combine like terms: 5x + -3x = 2x
6 + 2x = x + 6

Reorder the terms:
6 + 2x = 6 + x

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

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

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

Solving
2x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2x + -1x = x + -1x

Combine like terms: 2x + -1x = 1x
1x = x + -1x

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

Divide each side by '1'.
x = 0

Simplifying
x = 0