9x-7=6x+38

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Solution for 9x-7=6x+38 equation:


Simplifying
9x + -7 = 6x + 38

Reorder the terms:
-7 + 9x = 6x + 38

Reorder the terms:
-7 + 9x = 38 + 6x

Solving
-7 + 9x = 38 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + 9x + -6x = 38 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-7 + 3x = 38 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + 3x = 38 + 0
-7 + 3x = 38

Add '7' to each side of the equation.
-7 + 7 + 3x = 38 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 38 + 7
3x = 38 + 7

Combine like terms: 38 + 7 = 45
3x = 45

Divide each side by '3'.
x = 15

Simplifying
x = 15

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