3(X+8)(5+4)=8X(4+8)

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Solution for 3(X+8)(5+4)=8X(4+8) equation:


Simplifying
3(X + 8)(5 + 4) = 8X(4 + 8)

Reorder the terms:
3(8 + X)(5 + 4) = 8X(4 + 8)

Combine like terms: 5 + 4 = 9
3(8 + X)(9) = 8X(4 + 8)

Reorder the terms for easier multiplication:
3 * 9(8 + X) = 8X(4 + 8)

Multiply 3 * 9
27(8 + X) = 8X(4 + 8)
(8 * 27 + X * 27) = 8X(4 + 8)
(216 + 27X) = 8X(4 + 8)

Combine like terms: 4 + 8 = 12
216 + 27X = 8X(12)

Reorder the terms for easier multiplication:
216 + 27X = 8 * 12X

Multiply 8 * 12
216 + 27X = 96X

Solving
216 + 27X = 96X

Solving for variable 'X'.

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

Add '-96X' to each side of the equation.
216 + 27X + -96X = 96X + -96X

Combine like terms: 27X + -96X = -69X
216 + -69X = 96X + -96X

Combine like terms: 96X + -96X = 0
216 + -69X = 0

Add '-216' to each side of the equation.
216 + -216 + -69X = 0 + -216

Combine like terms: 216 + -216 = 0
0 + -69X = 0 + -216
-69X = 0 + -216

Combine like terms: 0 + -216 = -216
-69X = -216

Divide each side by '-69'.
X = 3.130434783

Simplifying
X = 3.130434783

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