2x+37=3+6x-6

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Solution for 2x+37=3+6x-6 equation:


Simplifying
2x + 37 = 3 + 6x + -6

Reorder the terms:
37 + 2x = 3 + 6x + -6

Reorder the terms:
37 + 2x = 3 + -6 + 6x

Combine like terms: 3 + -6 = -3
37 + 2x = -3 + 6x

Solving
37 + 2x = -3 + 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.
37 + 2x + -6x = -3 + 6x + -6x

Combine like terms: 2x + -6x = -4x
37 + -4x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
37 + -4x = -3 + 0
37 + -4x = -3

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

Combine like terms: 37 + -37 = 0
0 + -4x = -3 + -37
-4x = -3 + -37

Combine like terms: -3 + -37 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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