10-5x+2=8-3x-14

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Solution for 10-5x+2=8-3x-14 equation: 


Simplifying
10 + -5x + 2 = 8 + -3x + -14

Reorder the terms:
10 + 2 + -5x = 8 + -3x + -14

Combine like terms: 10 + 2 = 12
12 + -5x = 8 + -3x + -14

Reorder the terms:
12 + -5x = 8 + -14 + -3x

Combine like terms: 8 + -14 = -6
12 + -5x = -6 + -3x

Solving
12 + -5x = -6 + -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 + -5x + 3x = -6 + -3x + 3x

Combine like terms: -5x + 3x = -2x
12 + -2x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + -2x = -6 + 0
12 + -2x = -6

Add '-12' to each side of the equation.
12 + -12 + -2x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -6 + -12
-2x = -6 + -12

Combine like terms: -6 + -12 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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