3(x-4)+x=(x-11)-37

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Solution for 3(x-4)+x=(x-11)-37 equation: 


Simplifying
3(x + -4) + x = (x + -11) + -37

Reorder the terms:
3(-4 + x) + x = (x + -11) + -37
(-4 * 3 + x * 3) + x = (x + -11) + -37
(-12 + 3x) + x = (x + -11) + -37

Combine like terms: 3x + x = 4x
-12 + 4x = (x + -11) + -37

Reorder the terms:
-12 + 4x = (-11 + x) + -37

Remove parenthesis around (-11 + x)
-12 + 4x = -11 + x + -37

Reorder the terms:
-12 + 4x = -11 + -37 + x

Combine like terms: -11 + -37 = -48
-12 + 4x = -48 + x

Solving
-12 + 4x = -48 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + 4x + -1x = -48 + x + -1x

Combine like terms: 4x + -1x = 3x
-12 + 3x = -48 + x + -1x

Combine like terms: x + -1x = 0
-12 + 3x = -48 + 0
-12 + 3x = -48

Add '12' to each side of the equation.
-12 + 12 + 3x = -48 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -48 + 12
3x = -48 + 12

Combine like terms: -48 + 12 = -36
3x = -36

Divide each side by '3'.
x = -12

Simplifying
x = -12

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