5x+6=5-(7x-5)

Solution for 5x+6=5-(7x-5) equation:

Simplifying
5x + 6 = 5 + -1(7x + -5)

Reorder the terms:
6 + 5x = 5 + -1(7x + -5)

Reorder the terms:
6 + 5x = 5 + -1(-5 + 7x)
6 + 5x = 5 + (-5 * -1 + 7x * -1)
6 + 5x = 5 + (5 + -7x)

Combine like terms: 5 + 5 = 10
6 + 5x = 10 + -7x

Solving
6 + 5x = 10 + -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 + 5x + 7x = 10 + -7x + 7x

Combine like terms: 5x + 7x = 12x
6 + 12x = 10 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 12x = 10 + 0
6 + 12x = 10

Add '-6' to each side of the equation.
6 + -6 + 12x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 12x = 10 + -6
12x = 10 + -6

Combine like terms: 10 + -6 = 4
12x = 4

Divide each side by '12'.
x = 0.3333333333

Simplifying
x = 0.3333333333