6x-7=9x-22

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Solution for 6x-7=9x-22 equation:


Simplifying
6x + -7 = 9x + -22

Reorder the terms:
-7 + 6x = 9x + -22

Reorder the terms:
-7 + 6x = -22 + 9x

Solving
-7 + 6x = -22 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-7 + 6x + -9x = -22 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-7 + -3x = -22 + 9x + -9x

Combine like terms: 9x + -9x = 0
-7 + -3x = -22 + 0
-7 + -3x = -22

Add '7' to each side of the equation.
-7 + 7 + -3x = -22 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = -22 + 7
-3x = -22 + 7

Combine like terms: -22 + 7 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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