(x+8)*7=11+6*(x+12)

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Solution for (x+8)*7=11+6*(x+12) equation:


Simplifying
(x + 8) * 7 = 11 + 6(x + 12)

Reorder the terms:
(8 + x) * 7 = 11 + 6(x + 12)

Reorder the terms for easier multiplication:
7(8 + x) = 11 + 6(x + 12)
(8 * 7 + x * 7) = 11 + 6(x + 12)
(56 + 7x) = 11 + 6(x + 12)

Reorder the terms:
56 + 7x = 11 + 6(12 + x)
56 + 7x = 11 + (12 * 6 + x * 6)
56 + 7x = 11 + (72 + 6x)

Combine like terms: 11 + 72 = 83
56 + 7x = 83 + 6x

Solving
56 + 7x = 83 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
56 + 7x + -6x = 83 + 6x + -6x

Combine like terms: 7x + -6x = 1x
56 + 1x = 83 + 6x + -6x

Combine like terms: 6x + -6x = 0
56 + 1x = 83 + 0
56 + 1x = 83

Add '-56' to each side of the equation.
56 + -56 + 1x = 83 + -56

Combine like terms: 56 + -56 = 0
0 + 1x = 83 + -56
1x = 83 + -56

Combine like terms: 83 + -56 = 27
1x = 27

Divide each side by '1'.
x = 27

Simplifying
x = 27

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