2x+6=5x-22

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Solution for 2x+6=5x-22 equation:


Simplifying
2x + 6 = 5x + -22

Reorder the terms:
6 + 2x = 5x + -22

Reorder the terms:
6 + 2x = -22 + 5x

Solving
6 + 2x = -22 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
6 + 2x + -5x = -22 + 5x + -5x

Combine like terms: 2x + -5x = -3x
6 + -3x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -3x = -22 + 0
6 + -3x = -22

Add '-6' to each side of the equation.
6 + -6 + -3x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -22 + -6
-3x = -22 + -6

Combine like terms: -22 + -6 = -28
-3x = -28

Divide each side by '-3'.
x = 9.333333333

Simplifying
x = 9.333333333

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