3(-6+2x)=37-7(3x+4)

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Solution for 3(-6+2x)=37-7(3x+4) equation: 


Simplifying
3(-6 + 2x) = 37 + -7(3x + 4)
(-6 * 3 + 2x * 3) = 37 + -7(3x + 4)
(-18 + 6x) = 37 + -7(3x + 4)

Reorder the terms:
-18 + 6x = 37 + -7(4 + 3x)
-18 + 6x = 37 + (4 * -7 + 3x * -7)
-18 + 6x = 37 + (-28 + -21x)

Combine like terms: 37 + -28 = 9
-18 + 6x = 9 + -21x

Solving
-18 + 6x = 9 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
-18 + 6x + 21x = 9 + -21x + 21x

Combine like terms: 6x + 21x = 27x
-18 + 27x = 9 + -21x + 21x

Combine like terms: -21x + 21x = 0
-18 + 27x = 9 + 0
-18 + 27x = 9

Add '18' to each side of the equation.
-18 + 18 + 27x = 9 + 18

Combine like terms: -18 + 18 = 0
0 + 27x = 9 + 18
27x = 9 + 18

Combine like terms: 9 + 18 = 27
27x = 27

Divide each side by '27'.
x = 1

Simplifying
x = 1

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