(4x-5)2-10(4x-5)+24=0

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Solution for (4x-5)2-10(4x-5)+24=0 equation:


Simplifying
(4x + -5) * 2 + -10(4x + -5) + 24 = 0

Reorder the terms:
(-5 + 4x) * 2 + -10(4x + -5) + 24 = 0

Reorder the terms for easier multiplication:
2(-5 + 4x) + -10(4x + -5) + 24 = 0
(-5 * 2 + 4x * 2) + -10(4x + -5) + 24 = 0
(-10 + 8x) + -10(4x + -5) + 24 = 0

Reorder the terms:
-10 + 8x + -10(-5 + 4x) + 24 = 0
-10 + 8x + (-5 * -10 + 4x * -10) + 24 = 0
-10 + 8x + (50 + -40x) + 24 = 0

Reorder the terms:
-10 + 50 + 24 + 8x + -40x = 0

Combine like terms: -10 + 50 = 40
40 + 24 + 8x + -40x = 0

Combine like terms: 40 + 24 = 64
64 + 8x + -40x = 0

Combine like terms: 8x + -40x = -32x
64 + -32x = 0

Solving
64 + -32x = 0

Solving for variable 'x'.

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

Add '-64' to each side of the equation.
64 + -64 + -32x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -32x = 0 + -64
-32x = 0 + -64

Combine like terms: 0 + -64 = -64
-32x = -64

Divide each side by '-32'.
x = 2

Simplifying
x = 2

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