x+3=7x-9

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Solution for x+3=7x-9 equation:


Simplifying
x + 3 = 7x + -9

Reorder the terms:
3 + x = 7x + -9

Reorder the terms:
3 + x = -9 + 7x

Solving
3 + x = -9 + 7x

Solving for variable 'x'.

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

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

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

Combine like terms: 7x + -7x = 0
3 + -6x = -9 + 0
3 + -6x = -9

Add '-3' to each side of the equation.
3 + -3 + -6x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = -9 + -3
-6x = -9 + -3

Combine like terms: -9 + -3 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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