14(x+6)-17=12(x+5)

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Solution for 14(x+6)-17=12(x+5) equation:


Simplifying
14(x + 6) + -17 = 12(x + 5)

Reorder the terms:
14(6 + x) + -17 = 12(x + 5)
(6 * 14 + x * 14) + -17 = 12(x + 5)
(84 + 14x) + -17 = 12(x + 5)

Reorder the terms:
84 + -17 + 14x = 12(x + 5)

Combine like terms: 84 + -17 = 67
67 + 14x = 12(x + 5)

Reorder the terms:
67 + 14x = 12(5 + x)
67 + 14x = (5 * 12 + x * 12)
67 + 14x = (60 + 12x)

Solving
67 + 14x = 60 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
67 + 14x + -12x = 60 + 12x + -12x

Combine like terms: 14x + -12x = 2x
67 + 2x = 60 + 12x + -12x

Combine like terms: 12x + -12x = 0
67 + 2x = 60 + 0
67 + 2x = 60

Add '-67' to each side of the equation.
67 + -67 + 2x = 60 + -67

Combine like terms: 67 + -67 = 0
0 + 2x = 60 + -67
2x = 60 + -67

Combine like terms: 60 + -67 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

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