3x-[3-2(3x-7)]=37

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Solution for 3x-[3-2(3x-7)]=37 equation:


Simplifying
3x + -1[3 + -2(3x + -7)] = 37

Reorder the terms:
3x + -1[3 + -2(-7 + 3x)] = 37
3x + -1[3 + (-7 * -2 + 3x * -2)] = 37
3x + -1[3 + (14 + -6x)] = 37

Combine like terms: 3 + 14 = 17
3x + -1[17 + -6x] = 37
3x + [17 * -1 + -6x * -1] = 37
3x + [-17 + 6x] = 37

Reorder the terms:
-17 + 3x + 6x = 37

Combine like terms: 3x + 6x = 9x
-17 + 9x = 37

Solving
-17 + 9x = 37

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 9x = 37 + 17

Combine like terms: -17 + 17 = 0
0 + 9x = 37 + 17
9x = 37 + 17

Combine like terms: 37 + 17 = 54
9x = 54

Divide each side by '9'.
x = 6

Simplifying
x = 6

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