((x+5)*5)+((x+6)*6)=x*12

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Solution for ((x+5)*5)+((x+6)*6)=x*12 equation:


Simplifying
((x + 5) * 5) + ((x + 6) * 6) = x * 12

Reorder the terms:
((5 + x) * 5) + ((x + 6) * 6) = x * 12

Reorder the terms for easier multiplication:
(5(5 + x)) + ((x + 6) * 6) = x * 12
((5 * 5 + x * 5)) + ((x + 6) * 6) = x * 12
((25 + 5x)) + ((x + 6) * 6) = x * 12
(25 + 5x) + ((x + 6) * 6) = x * 12

Remove parenthesis around (25 + 5x)
25 + 5x + ((x + 6) * 6) = x * 12

Reorder the terms:
25 + 5x + ((6 + x) * 6) = x * 12

Reorder the terms for easier multiplication:
25 + 5x + (6(6 + x)) = x * 12
25 + 5x + ((6 * 6 + x * 6)) = x * 12
25 + 5x + ((36 + 6x)) = x * 12
25 + 5x + (36 + 6x) = x * 12

Remove parenthesis around (36 + 6x)
25 + 5x + 36 + 6x = x * 12

Reorder the terms:
25 + 36 + 5x + 6x = x * 12

Combine like terms: 25 + 36 = 61
61 + 5x + 6x = x * 12

Combine like terms: 5x + 6x = 11x
61 + 11x = x * 12

Reorder the terms for easier multiplication:
61 + 11x = 12x

Solving
61 + 11x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
61 + 11x + -12x = 12x + -12x

Combine like terms: 11x + -12x = -1x
61 + -1x = 12x + -12x

Combine like terms: 12x + -12x = 0
61 + -1x = 0

Add '-61' to each side of the equation.
61 + -61 + -1x = 0 + -61

Combine like terms: 61 + -61 = 0
0 + -1x = 0 + -61
-1x = 0 + -61

Combine like terms: 0 + -61 = -61
-1x = -61

Divide each side by '-1'.
x = 61

Simplifying
x = 61

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