3(3x-7)-2=3(x-4)+37

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Solution for 3(3x-7)-2=3(x-4)+37 equation: 


Simplifying
3(3x + -7) + -2 = 3(x + -4) + 37

Reorder the terms:
3(-7 + 3x) + -2 = 3(x + -4) + 37
(-7 * 3 + 3x * 3) + -2 = 3(x + -4) + 37
(-21 + 9x) + -2 = 3(x + -4) + 37

Reorder the terms:
-21 + -2 + 9x = 3(x + -4) + 37

Combine like terms: -21 + -2 = -23
-23 + 9x = 3(x + -4) + 37

Reorder the terms:
-23 + 9x = 3(-4 + x) + 37
-23 + 9x = (-4 * 3 + x * 3) + 37
-23 + 9x = (-12 + 3x) + 37

Reorder the terms:
-23 + 9x = -12 + 37 + 3x

Combine like terms: -12 + 37 = 25
-23 + 9x = 25 + 3x

Solving
-23 + 9x = 25 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-23 + 9x + -3x = 25 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-23 + 6x = 25 + 3x + -3x

Combine like terms: 3x + -3x = 0
-23 + 6x = 25 + 0
-23 + 6x = 25

Add '23' to each side of the equation.
-23 + 23 + 6x = 25 + 23

Combine like terms: -23 + 23 = 0
0 + 6x = 25 + 23
6x = 25 + 23

Combine like terms: 25 + 23 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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