3(3x-4)+37=6x-2

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Solution for 3(3x-4)+37=6x-2 equation:


Simplifying
3(3x + -4) + 37 = 6x + -2

Reorder the terms:
3(-4 + 3x) + 37 = 6x + -2
(-4 * 3 + 3x * 3) + 37 = 6x + -2
(-12 + 9x) + 37 = 6x + -2

Reorder the terms:
-12 + 37 + 9x = 6x + -2

Combine like terms: -12 + 37 = 25
25 + 9x = 6x + -2

Reorder the terms:
25 + 9x = -2 + 6x

Solving
25 + 9x = -2 + 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.
25 + 9x + -6x = -2 + 6x + -6x

Combine like terms: 9x + -6x = 3x
25 + 3x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
25 + 3x = -2 + 0
25 + 3x = -2

Add '-25' to each side of the equation.
25 + -25 + 3x = -2 + -25

Combine like terms: 25 + -25 = 0
0 + 3x = -2 + -25
3x = -2 + -25

Combine like terms: -2 + -25 = -27
3x = -27

Divide each side by '3'.
x = -9

Simplifying
x = -9

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