13-6x=(2x-5)2+3

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Solution for 13-6x=(2x-5)2+3 equation:


Simplifying
13 + -6x = (2x + -5) * 2 + 3

Reorder the terms:
13 + -6x = (-5 + 2x) * 2 + 3

Reorder the terms for easier multiplication:
13 + -6x = 2(-5 + 2x) + 3
13 + -6x = (-5 * 2 + 2x * 2) + 3
13 + -6x = (-10 + 4x) + 3

Reorder the terms:
13 + -6x = -10 + 3 + 4x

Combine like terms: -10 + 3 = -7
13 + -6x = -7 + 4x

Solving
13 + -6x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
13 + -6x + -4x = -7 + 4x + -4x

Combine like terms: -6x + -4x = -10x
13 + -10x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -10x = -7 + 0
13 + -10x = -7

Add '-13' to each side of the equation.
13 + -13 + -10x = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -10x = -7 + -13
-10x = -7 + -13

Combine like terms: -7 + -13 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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