7x+6=(25x+3)-(9x+3)

Solution for 7x+6=(25x+3)-(9x+3) equation:

Simplifying
7x + 6 = (25x + 3) + -1(9x + 3)

Reorder the terms:
6 + 7x = (25x + 3) + -1(9x + 3)

Reorder the terms:
6 + 7x = (3 + 25x) + -1(9x + 3)

Remove parenthesis around (3 + 25x)
6 + 7x = 3 + 25x + -1(9x + 3)

Reorder the terms:
6 + 7x = 3 + 25x + -1(3 + 9x)
6 + 7x = 3 + 25x + (3 * -1 + 9x * -1)
6 + 7x = 3 + 25x + (-3 + -9x)

Reorder the terms:
6 + 7x = 3 + -3 + 25x + -9x

Combine like terms: 3 + -3 = 0
6 + 7x = 0 + 25x + -9x
6 + 7x = 25x + -9x

Combine like terms: 25x + -9x = 16x
6 + 7x = 16x

Solving
6 + 7x = 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
6 + 7x + -16x = 16x + -16x

Combine like terms: 7x + -16x = -9x
6 + -9x = 16x + -16x

Combine like terms: 16x + -16x = 0
6 + -9x = 0

Add '-6' to each side of the equation.
6 + -6 + -9x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = 0 + -6
-9x = 0 + -6

Combine like terms: 0 + -6 = -6
-9x = -6

Divide each side by '-9'.
x = 0.6666666667

Simplifying
x = 0.6666666667