x+11=5x-37

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Solution for x+11=5x-37 equation:


Simplifying
x + 11 = 5x + -37

Reorder the terms:
11 + x = 5x + -37

Reorder the terms:
11 + x = -37 + 5x

Solving
11 + x = -37 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11 + x + -5x = -37 + 5x + -5x

Combine like terms: x + -5x = -4x
11 + -4x = -37 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -4x = -37 + 0
11 + -4x = -37

Add '-11' to each side of the equation.
11 + -11 + -4x = -37 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = -37 + -11
-4x = -37 + -11

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

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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