(3x-4)2+4x=9x-24

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Solution for (3x-4)2+4x=9x-24 equation:


Simplifying
(3x + -4) * 2 + 4x = 9x + -24

Reorder the terms:
(-4 + 3x) * 2 + 4x = 9x + -24

Reorder the terms for easier multiplication:
2(-4 + 3x) + 4x = 9x + -24
(-4 * 2 + 3x * 2) + 4x = 9x + -24
(-8 + 6x) + 4x = 9x + -24

Combine like terms: 6x + 4x = 10x
-8 + 10x = 9x + -24

Reorder the terms:
-8 + 10x = -24 + 9x

Solving
-8 + 10x = -24 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-8 + 10x + -9x = -24 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-8 + 1x = -24 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + 1x = -24 + 0
-8 + 1x = -24

Add '8' to each side of the equation.
-8 + 8 + 1x = -24 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -24 + 8
1x = -24 + 8

Combine like terms: -24 + 8 = -16
1x = -16

Divide each side by '1'.
x = -16

Simplifying
x = -16

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