4x+14=33x-44

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Solution for 4x+14=33x-44 equation:


Simplifying
4x + 14 = 33x + -44

Reorder the terms:
14 + 4x = 33x + -44

Reorder the terms:
14 + 4x = -44 + 33x

Solving
14 + 4x = -44 + 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
14 + 4x + -33x = -44 + 33x + -33x

Combine like terms: 4x + -33x = -29x
14 + -29x = -44 + 33x + -33x

Combine like terms: 33x + -33x = 0
14 + -29x = -44 + 0
14 + -29x = -44

Add '-14' to each side of the equation.
14 + -14 + -29x = -44 + -14

Combine like terms: 14 + -14 = 0
0 + -29x = -44 + -14
-29x = -44 + -14

Combine like terms: -44 + -14 = -58
-29x = -58

Divide each side by '-29'.
x = 2

Simplifying
x = 2

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