(X+3)6=(x+1)7

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Solution for (X+3)6=(x+1)7 equation:


Simplifying
(X + 3) * 6 = (x + 1) * 7

Reorder the terms:
(3 + X) * 6 = (x + 1) * 7

Reorder the terms for easier multiplication:
6(3 + X) = (x + 1) * 7
(3 * 6 + X * 6) = (x + 1) * 7
(18 + 6X) = (x + 1) * 7

Reorder the terms:
18 + 6X = (1 + x) * 7

Reorder the terms for easier multiplication:
18 + 6X = 7(1 + x)
18 + 6X = (1 * 7 + x * 7)
18 + 6X = (7 + 7x)

Solving
18 + 6X = 7 + 7x

Solving for variable 'X'.

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

Add '-18' to each side of the equation.
18 + -18 + 6X = 7 + -18 + 7x

Combine like terms: 18 + -18 = 0
0 + 6X = 7 + -18 + 7x
6X = 7 + -18 + 7x

Combine like terms: 7 + -18 = -11
6X = -11 + 7x

Divide each side by '6'.
X = -1.833333333 + 1.166666667x

Simplifying
X = -1.833333333 + 1.166666667x

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