(6x+5)2-(x-1)2=

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Solution for (6x+5)2-(x-1)2= equation:


Simplifying
(6x + 5) * 2 + -1(x + -1) * 2 = 0

Reorder the terms:
(5 + 6x) * 2 + -1(x + -1) * 2 = 0

Reorder the terms for easier multiplication:
2(5 + 6x) + -1(x + -1) * 2 = 0
(5 * 2 + 6x * 2) + -1(x + -1) * 2 = 0
(10 + 12x) + -1(x + -1) * 2 = 0

Reorder the terms:
10 + 12x + -1(-1 + x) * 2 = 0

Reorder the terms for easier multiplication:
10 + 12x + -1 * 2(-1 + x) = 0

Multiply -1 * 2
10 + 12x + -2(-1 + x) = 0
10 + 12x + (-1 * -2 + x * -2) = 0
10 + 12x + (2 + -2x) = 0

Reorder the terms:
10 + 2 + 12x + -2x = 0

Combine like terms: 10 + 2 = 12
12 + 12x + -2x = 0

Combine like terms: 12x + -2x = 10x
12 + 10x = 0

Solving
12 + 10x = 0

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 10x = 0 + -12

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

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

Divide each side by '10'.
x = -1.2

Simplifying
x = -1.2

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