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

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Solution for 14-1(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 = 9
9 + -1x = 3(x + 9) + -10

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

Reorder the terms:
9 + -1x = 27 + -10 + 3x

Combine like terms: 27 + -10 = 17
9 + -1x = 17 + 3x

Solving
9 + -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.
9 + -1x + -3x = 17 + 3x + -3x

Combine like terms: -1x + -3x = -4x
9 + -4x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -4x = 17 + 0
9 + -4x = 17

Add '-9' to each side of the equation.
9 + -9 + -4x = 17 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 17 + -9
-4x = 17 + -9

Combine like terms: 17 + -9 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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