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

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


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

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

Combine like terms: 14 + 5 = 19
19 + -1x = 3(x + 9) + -10

Reorder the terms:
19 + -1x = 3(9 + x) + -10
19 + -1x = (9 * 3 + x * 3) + -10
19 + -1x = (27 + 3x) + -10

Reorder the terms:
19 + -1x = 27 + -10 + 3x

Combine like terms: 27 + -10 = 17
19 + -1x = 17 + 3x

Solving
19 + -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.
19 + -1x + -3x = 17 + 3x + -3x

Combine like terms: -1x + -3x = -4x
19 + -4x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
19 + -4x = 17 + 0
19 + -4x = 17

Add '-19' to each side of the equation.
19 + -19 + -4x = 17 + -19

Combine like terms: 19 + -19 = 0
0 + -4x = 17 + -19
-4x = 17 + -19

Combine like terms: 17 + -19 = -2
-4x = -2

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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