5x+6(x+1)=x-2(x-3)

Solution for 5x+6(x+1)=x-2(x-3) equation:

Simplifying
5x + 6(x + 1) = x + -2(x + -3)

Reorder the terms:
5x + 6(1 + x) = x + -2(x + -3)
5x + (1 * 6 + x * 6) = x + -2(x + -3)
5x + (6 + 6x) = x + -2(x + -3)

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

Combine like terms: 5x + 6x = 11x
6 + 11x = x + -2(x + -3)

Reorder the terms:
6 + 11x = x + -2(-3 + x)
6 + 11x = x + (-3 * -2 + x * -2)
6 + 11x = x + (6 + -2x)

Reorder the terms:
6 + 11x = 6 + x + -2x

Combine like terms: x + -2x = -1x
6 + 11x = 6 + -1x

Add '-6' to each side of the equation.
6 + -6 + 11x = 6 + -6 + -1x

Combine like terms: 6 + -6 = 0
0 + 11x = 6 + -6 + -1x
11x = 6 + -6 + -1x

Combine like terms: 6 + -6 = 0
11x = 0 + -1x
11x = -1x

Solving
11x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
11x + x = -1x + x

Combine like terms: 11x + x = 12x
12x = -1x + x

Combine like terms: -1x + x = 0
12x = 0

Divide each side by '12'.
x = 0

Simplifying
x = 0