14-(9x+5)=3(x+9)-10

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Solution for 14-(9x+5)=3(x+9)-10 equation:


Simplifying
14 + -1(9x + 5) = 3(x + 9) + -10

Reorder the terms:
14 + -1(5 + 9x) = 3(x + 9) + -10
14 + (5 * -1 + 9x * -1) = 3(x + 9) + -10
14 + (-5 + -9x) = 3(x + 9) + -10

Combine like terms: 14 + -5 = 9
9 + -9x = 3(x + 9) + -10

Reorder the terms:
9 + -9x = 3(9 + x) + -10
9 + -9x = (9 * 3 + x * 3) + -10
9 + -9x = (27 + 3x) + -10

Reorder the terms:
9 + -9x = 27 + -10 + 3x

Combine like terms: 27 + -10 = 17
9 + -9x = 17 + 3x

Solving
9 + -9x = 17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + -9x + -3x = 17 + 3x + -3x

Combine like terms: -9x + -3x = -12x
9 + -12x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -12x = 17 + 0
9 + -12x = 17

Add '-9' to each side of the equation.
9 + -9 + -12x = 17 + -9

Combine like terms: 9 + -9 = 0
0 + -12x = 17 + -9
-12x = 17 + -9

Combine like terms: 17 + -9 = 8
-12x = 8

Divide each side by '-12'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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