7x^2+6=18x^2-5x^2

Solution for 7x^2+6=18x^2-5x^2 equation:

Simplifying
7x2 + 6 = 18x2 + -5x2

Reorder the terms:
6 + 7x2 = 18x2 + -5x2

Combine like terms: 18x2 + -5x2 = 13x2
6 + 7x2 = 13x2

Solving
6 + 7x2 = 13x2

Solving for variable 'x'.

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

Add '-13x2' to each side of the equation.
6 + 7x2 + -13x2 = 13x2 + -13x2

Combine like terms: 7x2 + -13x2 = -6x2
6 + -6x2 = 13x2 + -13x2

Combine like terms: 13x2 + -13x2 = 0
6 + -6x2 = 0

Add '-6' to each side of the equation.
6 + -6 + -6x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -6x2 = 0 + -6
-6x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-6x2 = -6

Divide each side by '-6'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}