-6x+5=3x-22

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Solution for -6x+5=3x-22 equation:


Simplifying
-6x + 5 = 3x + -22

Reorder the terms:
5 + -6x = 3x + -22

Reorder the terms:
5 + -6x = -22 + 3x

Solving
5 + -6x = -22 + 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 = -22 + 3x + -3x

Combine like terms: -6x + -3x = -9x
5 + -9x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -9x = -22 + 0
5 + -9x = -22

Add '-5' to each side of the equation.
5 + -5 + -9x = -22 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = -22 + -5
-9x = -22 + -5

Combine like terms: -22 + -5 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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