3x+40=9x-2

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Solution for 3x+40=9x-2 equation:


Simplifying
3x + 40 = 9x + -2

Reorder the terms:
40 + 3x = 9x + -2

Reorder the terms:
40 + 3x = -2 + 9x

Solving
40 + 3x = -2 + 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.
40 + 3x + -9x = -2 + 9x + -9x

Combine like terms: 3x + -9x = -6x
40 + -6x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
40 + -6x = -2 + 0
40 + -6x = -2

Add '-40' to each side of the equation.
40 + -40 + -6x = -2 + -40

Combine like terms: 40 + -40 = 0
0 + -6x = -2 + -40
-6x = -2 + -40

Combine like terms: -2 + -40 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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