6(21x+12)+14=7(x+2)

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Solution for 6(21x+12)+14=7(x+2) equation:


Simplifying
6(21x + 12) + 14 = 7(x + 2)

Reorder the terms:
6(12 + 21x) + 14 = 7(x + 2)
(12 * 6 + 21x * 6) + 14 = 7(x + 2)
(72 + 126x) + 14 = 7(x + 2)

Reorder the terms:
72 + 14 + 126x = 7(x + 2)

Combine like terms: 72 + 14 = 86
86 + 126x = 7(x + 2)

Reorder the terms:
86 + 126x = 7(2 + x)
86 + 126x = (2 * 7 + x * 7)
86 + 126x = (14 + 7x)

Solving
86 + 126x = 14 + 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.
86 + 126x + -7x = 14 + 7x + -7x

Combine like terms: 126x + -7x = 119x
86 + 119x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
86 + 119x = 14 + 0
86 + 119x = 14

Add '-86' to each side of the equation.
86 + -86 + 119x = 14 + -86

Combine like terms: 86 + -86 = 0
0 + 119x = 14 + -86
119x = 14 + -86

Combine like terms: 14 + -86 = -72
119x = -72

Divide each side by '119'.
x = -0.6050420168

Simplifying
x = -0.6050420168

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