37=2x+3(-3x-4)

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Solution for 37=2x+3(-3x-4) equation:


Simplifying
37 = 2x + 3(-3x + -4)

Reorder the terms:
37 = 2x + 3(-4 + -3x)
37 = 2x + (-4 * 3 + -3x * 3)
37 = 2x + (-12 + -9x)

Reorder the terms:
37 = -12 + 2x + -9x

Combine like terms: 2x + -9x = -7x
37 = -12 + -7x

Solving
37 = -12 + -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.
37 + 7x = -12 + -7x + 7x

Combine like terms: -7x + 7x = 0
37 + 7x = -12 + 0
37 + 7x = -12

Add '-37' to each side of the equation.
37 + -37 + 7x = -12 + -37

Combine like terms: 37 + -37 = 0
0 + 7x = -12 + -37
7x = -12 + -37

Combine like terms: -12 + -37 = -49
7x = -49

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

Simplifying
x = -7

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