2x+11=14x-37

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Solution for 2x+11=14x-37 equation:


Simplifying
2x + 11 = 14x + -37

Reorder the terms:
11 + 2x = 14x + -37

Reorder the terms:
11 + 2x = -37 + 14x

Solving
11 + 2x = -37 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
11 + 2x + -14x = -37 + 14x + -14x

Combine like terms: 2x + -14x = -12x
11 + -12x = -37 + 14x + -14x

Combine like terms: 14x + -14x = 0
11 + -12x = -37 + 0
11 + -12x = -37

Add '-11' to each side of the equation.
11 + -11 + -12x = -37 + -11

Combine like terms: 11 + -11 = 0
0 + -12x = -37 + -11
-12x = -37 + -11

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

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

Simplifying
x = 4

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