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

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

Simplifying
3x + -1(x2 + 3x + -7) = -2

Reorder the terms:
3x + -1(-7 + 3x + x2) = -2
3x + (-7 * -1 + 3x * -1 + x2 * -1) = -2
3x + (7 + -3x + -1x2) = -2

Reorder the terms:
7 + 3x + -3x + -1x2 = -2

Combine like terms: 3x + -3x = 0
7 + 0 + -1x2 = -2
7 + -1x2 = -2

Solving
7 + -1x2 = -2

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -1x2 = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -1x2 = -2 + -7
-1x2 = -2 + -7

Combine like terms: -2 + -7 = -9
-1x2 = -9

Divide each side by '-1'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}