2(2x-6)2(x+3)=26

Solution for 2(2x-6)2(x+3)=26 equation:

Simplifying
2(2x + -6) * 2(x + 3) = 26

Reorder the terms:
2(-6 + 2x) * 2(x + 3) = 26

Reorder the terms:
2(-6 + 2x) * 2(3 + x) = 26

Reorder the terms for easier multiplication:
2 * 2(-6 + 2x)(3 + x) = 26

Multiply 2 * 2
4(-6 + 2x)(3 + x) = 26

Multiply (-6 + 2x) * (3 + x)
4(-6(3 + x) + 2x * (3 + x)) = 26
4((3 * -6 + x * -6) + 2x * (3 + x)) = 26
4((-18 + -6x) + 2x * (3 + x)) = 26
4(-18 + -6x + (3 * 2x + x * 2x)) = 26
4(-18 + -6x + (6x + 2x2)) = 26

Combine like terms: -6x + 6x = 0
4(-18 + 0 + 2x2) = 26
4(-18 + 2x2) = 26
(-18 * 4 + 2x2 * 4) = 26
(-72 + 8x2) = 26

Solving
-72 + 8x2 = 26

Solving for variable 'x'.

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

Add '72' to each side of the equation.
-72 + 72 + 8x2 = 26 + 72

Combine like terms: -72 + 72 = 0
0 + 8x2 = 26 + 72
8x2 = 26 + 72

Combine like terms: 26 + 72 = 98
8x2 = 98

Divide each side by '8'.
x2 = 12.25

Simplifying
x2 = 12.25

Take the square root of each side:
x = {-3.5, 3.5}