37-6x=3(-3x+3)-4x

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


Simplifying
37 + -6x = 3(-3x + 3) + -4x

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

Combine like terms: -9x + -4x = -13x
37 + -6x = 9 + -13x

Solving
37 + -6x = 9 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
37 + -6x + 13x = 9 + -13x + 13x

Combine like terms: -6x + 13x = 7x
37 + 7x = 9 + -13x + 13x

Combine like terms: -13x + 13x = 0
37 + 7x = 9 + 0
37 + 7x = 9

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

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

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

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

Simplifying
x = -4

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