2(x^2-7)=3(x^2-5)

Solution for 2(x^2-7)=3(x^2-5) equation:

Simplifying
2(x2 + -7) = 3(x2 + -5)

Reorder the terms:
2(-7 + x2) = 3(x2 + -5)
(-7 * 2 + x2 * 2) = 3(x2 + -5)
(-14 + 2x2) = 3(x2 + -5)

Reorder the terms:
-14 + 2x2 = 3(-5 + x2)
-14 + 2x2 = (-5 * 3 + x2 * 3)
-14 + 2x2 = (-15 + 3x2)

Solving
-14 + 2x2 = -15 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
-14 + 2x2 + -3x2 = -15 + 3x2 + -3x2

Combine like terms: 2x2 + -3x2 = -1x2
-14 + -1x2 = -15 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-14 + -1x2 = -15 + 0
-14 + -1x2 = -15

Add '14' to each side of the equation.
-14 + 14 + -1x2 = -15 + 14

Combine like terms: -14 + 14 = 0
0 + -1x2 = -15 + 14
-1x2 = -15 + 14

Combine like terms: -15 + 14 = -1
-1x2 = -1

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

Simplifying
x2 = 1

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