3x-6x+9=4x+37

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Solution for 3x-6x+9=4x+37 equation:


Simplifying
3x + -6x + 9 = 4x + 37

Reorder the terms:
9 + 3x + -6x = 4x + 37

Combine like terms: 3x + -6x = -3x
9 + -3x = 4x + 37

Reorder the terms:
9 + -3x = 37 + 4x

Solving
9 + -3x = 37 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + -3x + -4x = 37 + 4x + -4x

Combine like terms: -3x + -4x = -7x
9 + -7x = 37 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -7x = 37 + 0
9 + -7x = 37

Add '-9' to each side of the equation.
9 + -9 + -7x = 37 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = 37 + -9
-7x = 37 + -9

Combine like terms: 37 + -9 = 28
-7x = 28

Divide each side by '-7'.
x = -4

Simplifying
x = -4

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