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

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


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

Reorder the terms:
6(12 + x) + 11 = 7(x + 8)
(12 * 6 + x * 6) + 11 = 7(x + 8)
(72 + 6x) + 11 = 7(x + 8)

Reorder the terms:
72 + 11 + 6x = 7(x + 8)

Combine like terms: 72 + 11 = 83
83 + 6x = 7(x + 8)

Reorder the terms:
83 + 6x = 7(8 + x)
83 + 6x = (8 * 7 + x * 7)
83 + 6x = (56 + 7x)

Solving
83 + 6x = 56 + 7x

Solving for variable 'x'.

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

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

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

Combine like terms: 7x + -7x = 0
83 + -1x = 56 + 0
83 + -1x = 56

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

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

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

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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