14-(x+2)=3(x+9)-10

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Solution for 14-(x+2)=3(x+9)-10 equation: 


Simplifying
14 + -1(x + 2) = 3(x + 9) + -10

Reorder the terms:
14 + -1(2 + x) = 3(x + 9) + -10
14 + (2 * -1 + x * -1) = 3(x + 9) + -10
14 + (-2 + -1x) = 3(x + 9) + -10

Combine like terms: 14 + -2 = 12
12 + -1x = 3(x + 9) + -10

Reorder the terms:
12 + -1x = 3(9 + x) + -10
12 + -1x = (9 * 3 + x * 3) + -10
12 + -1x = (27 + 3x) + -10

Reorder the terms:
12 + -1x = 27 + -10 + 3x

Combine like terms: 27 + -10 = 17
12 + -1x = 17 + 3x

Solving
12 + -1x = 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.
12 + -1x + -3x = 17 + 3x + -3x

Combine like terms: -1x + -3x = -4x
12 + -4x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -4x = 17 + 0
12 + -4x = 17

Add '-12' to each side of the equation.
12 + -12 + -4x = 17 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 17 + -12
-4x = 17 + -12

Combine like terms: 17 + -12 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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