(2X+13)3-(X-4)4=2

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Solution for (2X+13)3-(X-4)4=2 equation:


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

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

Reorder the terms for easier multiplication:
3(13 + 2X) + -1(X + -4) * 4 = 2
(13 * 3 + 2X * 3) + -1(X + -4) * 4 = 2
(39 + 6X) + -1(X + -4) * 4 = 2

Reorder the terms:
39 + 6X + -1(-4 + X) * 4 = 2

Reorder the terms for easier multiplication:
39 + 6X + -1 * 4(-4 + X) = 2

Multiply -1 * 4
39 + 6X + -4(-4 + X) = 2
39 + 6X + (-4 * -4 + X * -4) = 2
39 + 6X + (16 + -4X) = 2

Reorder the terms:
39 + 16 + 6X + -4X = 2

Combine like terms: 39 + 16 = 55
55 + 6X + -4X = 2

Combine like terms: 6X + -4X = 2X
55 + 2X = 2

Solving
55 + 2X = 2

Solving for variable 'X'.

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

Add '-55' to each side of the equation.
55 + -55 + 2X = 2 + -55

Combine like terms: 55 + -55 = 0
0 + 2X = 2 + -55
2X = 2 + -55

Combine like terms: 2 + -55 = -53
2X = -53

Divide each side by '2'.
X = -26.5

Simplifying
X = -26.5

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