(7x+3)-(6x-3)=15x+6

Solution for (7x+3)-(6x-3)=15x+6 equation:

Simplifying
(7x + 3) + -1(6x + -3) = 15x + 6

Reorder the terms:
(3 + 7x) + -1(6x + -3) = 15x + 6

Remove parenthesis around (3 + 7x)
3 + 7x + -1(6x + -3) = 15x + 6

Reorder the terms:
3 + 7x + -1(-3 + 6x) = 15x + 6
3 + 7x + (-3 * -1 + 6x * -1) = 15x + 6
3 + 7x + (3 + -6x) = 15x + 6

Reorder the terms:
3 + 3 + 7x + -6x = 15x + 6

Combine like terms: 3 + 3 = 6
6 + 7x + -6x = 15x + 6

Combine like terms: 7x + -6x = 1x
6 + 1x = 15x + 6

Reorder the terms:
6 + 1x = 6 + 15x

Add '-6' to each side of the equation.
6 + -6 + 1x = 6 + -6 + 15x

Combine like terms: 6 + -6 = 0
0 + 1x = 6 + -6 + 15x
1x = 6 + -6 + 15x

Combine like terms: 6 + -6 = 0
1x = 0 + 15x
1x = 15x

Solving
1x = 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
1x + -15x = 15x + -15x

Combine like terms: 1x + -15x = -14x
-14x = 15x + -15x

Combine like terms: 15x + -15x = 0
-14x = 0

Divide each side by '-14'.
x = 0

Simplifying
x = 0