(2x-3)2-4x-1x+3=13-24x

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Solution for (2x-3)2-4x-1x+3=13-24x equation:


Simplifying
(2x + -3) * 2 + -4x + -1x + 3 = 13 + -24x

Reorder the terms:
(-3 + 2x) * 2 + -4x + -1x + 3 = 13 + -24x

Reorder the terms for easier multiplication:
2(-3 + 2x) + -4x + -1x + 3 = 13 + -24x
(-3 * 2 + 2x * 2) + -4x + -1x + 3 = 13 + -24x
(-6 + 4x) + -4x + -1x + 3 = 13 + -24x

Reorder the terms:
-6 + 3 + 4x + -4x + -1x = 13 + -24x

Combine like terms: -6 + 3 = -3
-3 + 4x + -4x + -1x = 13 + -24x

Combine like terms: 4x + -4x = 0
-3 + 0 + -1x = 13 + -24x
-3 + -1x = 13 + -24x

Solving
-3 + -1x = 13 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-3 + -1x + 24x = 13 + -24x + 24x

Combine like terms: -1x + 24x = 23x
-3 + 23x = 13 + -24x + 24x

Combine like terms: -24x + 24x = 0
-3 + 23x = 13 + 0
-3 + 23x = 13

Add '3' to each side of the equation.
-3 + 3 + 23x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 23x = 13 + 3
23x = 13 + 3

Combine like terms: 13 + 3 = 16
23x = 16

Divide each side by '23'.
x = 0.6956521739

Simplifying
x = 0.6956521739

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