3x+14(1+x)+2=5x-x-6

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Solution for 3x+14(1+x)+2=5x-x-6 equation:


Simplifying
3x + 14(1 + x) + 2 = 5x + -1x + -6
3x + (1 * 14 + x * 14) + 2 = 5x + -1x + -6
3x + (14 + 14x) + 2 = 5x + -1x + -6

Reorder the terms:
14 + 2 + 3x + 14x = 5x + -1x + -6

Combine like terms: 14 + 2 = 16
16 + 3x + 14x = 5x + -1x + -6

Combine like terms: 3x + 14x = 17x
16 + 17x = 5x + -1x + -6

Reorder the terms:
16 + 17x = -6 + 5x + -1x

Combine like terms: 5x + -1x = 4x
16 + 17x = -6 + 4x

Solving
16 + 17x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + 17x + -4x = -6 + 4x + -4x

Combine like terms: 17x + -4x = 13x
16 + 13x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + 13x = -6 + 0
16 + 13x = -6

Add '-16' to each side of the equation.
16 + -16 + 13x = -6 + -16

Combine like terms: 16 + -16 = 0
0 + 13x = -6 + -16
13x = -6 + -16

Combine like terms: -6 + -16 = -22
13x = -22

Divide each side by '13'.
x = -1.692307692

Simplifying
x = -1.692307692

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