3x+(5x+6)2=14x+(6x+5)2

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Solution for 3x+(5x+6)2=14x+(6x+5)2 equation:


Simplifying
3x + (5x + 6) * 2 = 14x + (6x + 5) * 2

Reorder the terms:
3x + (6 + 5x) * 2 = 14x + (6x + 5) * 2

Reorder the terms for easier multiplication:
3x + 2(6 + 5x) = 14x + (6x + 5) * 2
3x + (6 * 2 + 5x * 2) = 14x + (6x + 5) * 2
3x + (12 + 10x) = 14x + (6x + 5) * 2

Reorder the terms:
12 + 3x + 10x = 14x + (6x + 5) * 2

Combine like terms: 3x + 10x = 13x
12 + 13x = 14x + (6x + 5) * 2

Reorder the terms:
12 + 13x = 14x + (5 + 6x) * 2

Reorder the terms for easier multiplication:
12 + 13x = 14x + 2(5 + 6x)
12 + 13x = 14x + (5 * 2 + 6x * 2)
12 + 13x = 14x + (10 + 12x)

Reorder the terms:
12 + 13x = 10 + 14x + 12x

Combine like terms: 14x + 12x = 26x
12 + 13x = 10 + 26x

Solving
12 + 13x = 10 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
12 + 13x + -26x = 10 + 26x + -26x

Combine like terms: 13x + -26x = -13x
12 + -13x = 10 + 26x + -26x

Combine like terms: 26x + -26x = 0
12 + -13x = 10 + 0
12 + -13x = 10

Add '-12' to each side of the equation.
12 + -12 + -13x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -13x = 10 + -12
-13x = 10 + -12

Combine like terms: 10 + -12 = -2
-13x = -2

Divide each side by '-13'.
x = 0.1538461538

Simplifying
x = 0.1538461538

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