4x+21=14x-89

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Solution for 4x+21=14x-89 equation:


Simplifying
4x + 21 = 14x + -89

Reorder the terms:
21 + 4x = 14x + -89

Reorder the terms:
21 + 4x = -89 + 14x

Solving
21 + 4x = -89 + 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.
21 + 4x + -14x = -89 + 14x + -14x

Combine like terms: 4x + -14x = -10x
21 + -10x = -89 + 14x + -14x

Combine like terms: 14x + -14x = 0
21 + -10x = -89 + 0
21 + -10x = -89

Add '-21' to each side of the equation.
21 + -21 + -10x = -89 + -21

Combine like terms: 21 + -21 = 0
0 + -10x = -89 + -21
-10x = -89 + -21

Combine like terms: -89 + -21 = -110
-10x = -110

Divide each side by '-10'.
x = 11

Simplifying
x = 11

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