6=-3(2x+3)+7x

Solution for 6=-3(2x+3)+7x equation:

Simplifying
6 = -3(2x + 3) + 7x

Reorder the terms:
6 = -3(3 + 2x) + 7x
6 = (3 * -3 + 2x * -3) + 7x
6 = (-9 + -6x) + 7x

Combine like terms: -6x + 7x = 1x
6 = -9 + 1x

Solving
6 = -9 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -1x = -9 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + -1x = -9 + 0
6 + -1x = -9

Add '-6' to each side of the equation.
6 + -6 + -1x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -9 + -6
-1x = -9 + -6

Combine like terms: -9 + -6 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15