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

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

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

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

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

Combine like terms: 5x + 6x = 11x
6 + 11x = x + -1(x + -3)

Reorder the terms:
6 + 11x = x + -1(-3 + x)
6 + 11x = x + (-3 * -1 + x * -1)
6 + 11x = x + (3 + -1x)

Reorder the terms:
6 + 11x = 3 + x + -1x

Combine like terms: x + -1x = 0
6 + 11x = 3 + 0
6 + 11x = 3

Solving
6 + 11x = 3

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 11x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 3 + -6
11x = 3 + -6

Combine like terms: 3 + -6 = -3
11x = -3

Divide each side by '11'.
x = -0.2727272727

Simplifying
x = -0.2727272727