3(x+2)=9x-14(1-x)-8

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Solution for 3(x+2)=9x-14(1-x)-8 equation:


Simplifying
3(x + 2) = 9x + -14(1 + -1x) + -8

Reorder the terms:
3(2 + x) = 9x + -14(1 + -1x) + -8
(2 * 3 + x * 3) = 9x + -14(1 + -1x) + -8
(6 + 3x) = 9x + -14(1 + -1x) + -8
6 + 3x = 9x + (1 * -14 + -1x * -14) + -8
6 + 3x = 9x + (-14 + 14x) + -8

Reorder the terms:
6 + 3x = -14 + -8 + 9x + 14x

Combine like terms: -14 + -8 = -22
6 + 3x = -22 + 9x + 14x

Combine like terms: 9x + 14x = 23x
6 + 3x = -22 + 23x

Solving
6 + 3x = -22 + 23x

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
6 + 3x + -23x = -22 + 23x + -23x

Combine like terms: 3x + -23x = -20x
6 + -20x = -22 + 23x + -23x

Combine like terms: 23x + -23x = 0
6 + -20x = -22 + 0
6 + -20x = -22

Add '-6' to each side of the equation.
6 + -6 + -20x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + -20x = -22 + -6
-20x = -22 + -6

Combine like terms: -22 + -6 = -28
-20x = -28

Divide each side by '-20'.
x = 1.4

Simplifying
x = 1.4

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