3x-6=7x-x+30

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Solution for 3x-6=7x-x+30 equation:


Simplifying
3x + -6 = 7x + -1x + 30

Reorder the terms:
-6 + 3x = 7x + -1x + 30

Reorder the terms:
-6 + 3x = 30 + 7x + -1x

Combine like terms: 7x + -1x = 6x
-6 + 3x = 30 + 6x

Solving
-6 + 3x = 30 + 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.
-6 + 3x + -6x = 30 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-6 + -3x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -3x = 30 + 0
-6 + -3x = 30

Add '6' to each side of the equation.
-6 + 6 + -3x = 30 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 30 + 6
-3x = 30 + 6

Combine like terms: 30 + 6 = 36
-3x = 36

Divide each side by '-3'.
x = -12

Simplifying
x = -12

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