(X-1)+8=5(7-x)+12

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Solution for (X-1)+8=5(7-x)+12 equation:


Simplifying
(X + -1) + 8 = 5(7 + -1x) + 12

Reorder the terms:
(-1 + X) + 8 = 5(7 + -1x) + 12

Remove parenthesis around (-1 + X)
-1 + X + 8 = 5(7 + -1x) + 12

Reorder the terms:
-1 + 8 + X = 5(7 + -1x) + 12

Combine like terms: -1 + 8 = 7
7 + X = 5(7 + -1x) + 12
7 + X = (7 * 5 + -1x * 5) + 12
7 + X = (35 + -5x) + 12

Reorder the terms:
7 + X = 35 + 12 + -5x

Combine like terms: 35 + 12 = 47
7 + X = 47 + -5x

Solving
7 + X = 47 + -5x

Solving for variable 'X'.

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

Add '-7' to each side of the equation.
7 + -7 + X = 47 + -7 + -5x

Combine like terms: 7 + -7 = 0
0 + X = 47 + -7 + -5x
X = 47 + -7 + -5x

Combine like terms: 47 + -7 = 40
X = 40 + -5x

Simplifying
X = 40 + -5x

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