7-6x-2=-38+3x-11

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Solution for 7-6x-2=-38+3x-11 equation:


Simplifying
7 + -6x + -2 = -38 + 3x + -11

Reorder the terms:
7 + -2 + -6x = -38 + 3x + -11

Combine like terms: 7 + -2 = 5
5 + -6x = -38 + 3x + -11

Reorder the terms:
5 + -6x = -38 + -11 + 3x

Combine like terms: -38 + -11 = -49
5 + -6x = -49 + 3x

Solving
5 + -6x = -49 + 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.
5 + -6x + -3x = -49 + 3x + -3x

Combine like terms: -6x + -3x = -9x
5 + -9x = -49 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -9x = -49 + 0
5 + -9x = -49

Add '-5' to each side of the equation.
5 + -5 + -9x = -49 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = -49 + -5
-9x = -49 + -5

Combine like terms: -49 + -5 = -54
-9x = -54

Divide each side by '-9'.
x = 6

Simplifying
x = 6

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