3x-2=7x+9

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Solution for 3x-2=7x+9 equation:


Simplifying
3x + -2 = 7x + 9

Reorder the terms:
-2 + 3x = 7x + 9

Reorder the terms:
-2 + 3x = 9 + 7x

Solving
-2 + 3x = 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.
-2 + 3x + -7x = 9 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-2 + -4x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -4x = 9 + 0
-2 + -4x = 9

Add '2' to each side of the equation.
-2 + 2 + -4x = 9 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = 9 + 2
-4x = 9 + 2

Combine like terms: 9 + 2 = 11
-4x = 11

Divide each side by '-4'.
x = -2.75

Simplifying
x = -2.75

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