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

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


Simplifying
(X + 3) * 3 + (x + 4) * 4 = 8x

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

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

Reorder the terms:
9 + 3X + (4 + x) * 4 = 8x

Reorder the terms for easier multiplication:
9 + 3X + 4(4 + x) = 8x
9 + 3X + (4 * 4 + x * 4) = 8x
9 + 3X + (16 + 4x) = 8x

Reorder the terms:
9 + 16 + 3X + 4x = 8x

Combine like terms: 9 + 16 = 25
25 + 3X + 4x = 8x

Solving
25 + 3X + 4x = 8x

Solving for variable 'X'.

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

Add '-25' to each side of the equation.
25 + 3X + -25 + 4x = -25 + 8x

Reorder the terms:
25 + -25 + 3X + 4x = -25 + 8x

Combine like terms: 25 + -25 = 0
0 + 3X + 4x = -25 + 8x
3X + 4x = -25 + 8x

Add '-4x' to each side of the equation.
3X + 4x + -4x = -25 + 8x + -4x

Combine like terms: 4x + -4x = 0
3X + 0 = -25 + 8x + -4x
3X = -25 + 8x + -4x

Combine like terms: 8x + -4x = 4x
3X = -25 + 4x

Divide each side by '3'.
X = -8.333333333 + 1.333333333x

Simplifying
X = -8.333333333 + 1.333333333x

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