4x+33=14x-97

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Solution for 4x+33=14x-97 equation:


Simplifying
4x + 33 = 14x + -97

Reorder the terms:
33 + 4x = 14x + -97

Reorder the terms:
33 + 4x = -97 + 14x

Solving
33 + 4x = -97 + 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.
33 + 4x + -14x = -97 + 14x + -14x

Combine like terms: 4x + -14x = -10x
33 + -10x = -97 + 14x + -14x

Combine like terms: 14x + -14x = 0
33 + -10x = -97 + 0
33 + -10x = -97

Add '-33' to each side of the equation.
33 + -33 + -10x = -97 + -33

Combine like terms: 33 + -33 = 0
0 + -10x = -97 + -33
-10x = -97 + -33

Combine like terms: -97 + -33 = -130
-10x = -130

Divide each side by '-10'.
x = 13

Simplifying
x = 13

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