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

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


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

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

Combine like terms: 14 + -10 = 4
4 + -1x = 3(x + -9) + -10

Reorder the terms:
4 + -1x = 3(-9 + x) + -10
4 + -1x = (-9 * 3 + x * 3) + -10
4 + -1x = (-27 + 3x) + -10

Reorder the terms:
4 + -1x = -27 + -10 + 3x

Combine like terms: -27 + -10 = -37
4 + -1x = -37 + 3x

Solving
4 + -1x = -37 + 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.
4 + -1x + -3x = -37 + 3x + -3x

Combine like terms: -1x + -3x = -4x
4 + -4x = -37 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -4x = -37 + 0
4 + -4x = -37

Add '-4' to each side of the equation.
4 + -4 + -4x = -37 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = -37 + -4
-4x = -37 + -4

Combine like terms: -37 + -4 = -41
-4x = -41

Divide each side by '-4'.
x = 10.25

Simplifying
x = 10.25

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