25(x+2)2-(x-6)=23(x-3)

Solution for 25(x+2)2-(x-6)=23(x-3) equation:

Simplifying
25(x + 2) * 2 + -1(x + -6) = 23(x + -3)

Reorder the terms:
25(2 + x) * 2 + -1(x + -6) = 23(x + -3)

Reorder the terms for easier multiplication:
25 * 2(2 + x) + -1(x + -6) = 23(x + -3)

Multiply 25 * 2
50(2 + x) + -1(x + -6) = 23(x + -3)
(2 * 50 + x * 50) + -1(x + -6) = 23(x + -3)
(100 + 50x) + -1(x + -6) = 23(x + -3)

Reorder the terms:
100 + 50x + -1(-6 + x) = 23(x + -3)
100 + 50x + (-6 * -1 + x * -1) = 23(x + -3)
100 + 50x + (6 + -1x) = 23(x + -3)

Reorder the terms:
100 + 6 + 50x + -1x = 23(x + -3)

Combine like terms: 100 + 6 = 106
106 + 50x + -1x = 23(x + -3)

Combine like terms: 50x + -1x = 49x
106 + 49x = 23(x + -3)

Reorder the terms:
106 + 49x = 23(-3 + x)
106 + 49x = (-3 * 23 + x * 23)
106 + 49x = (-69 + 23x)

Solving
106 + 49x = -69 + 23x

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
106 + 49x + -23x = -69 + 23x + -23x

Combine like terms: 49x + -23x = 26x
106 + 26x = -69 + 23x + -23x

Combine like terms: 23x + -23x = 0
106 + 26x = -69 + 0
106 + 26x = -69

Add '-106' to each side of the equation.
106 + -106 + 26x = -69 + -106

Combine like terms: 106 + -106 = 0
0 + 26x = -69 + -106
26x = -69 + -106

Combine like terms: -69 + -106 = -175
26x = -175

Divide each side by '26'.
x = -6.730769231

Simplifying
x = -6.730769231