4x+19=14x-101

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Solution for 4x+19=14x-101 equation:


Simplifying
4x + 19 = 14x + -101

Reorder the terms:
19 + 4x = 14x + -101

Reorder the terms:
19 + 4x = -101 + 14x

Solving
19 + 4x = -101 + 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.
19 + 4x + -14x = -101 + 14x + -14x

Combine like terms: 4x + -14x = -10x
19 + -10x = -101 + 14x + -14x

Combine like terms: 14x + -14x = 0
19 + -10x = -101 + 0
19 + -10x = -101

Add '-19' to each side of the equation.
19 + -19 + -10x = -101 + -19

Combine like terms: 19 + -19 = 0
0 + -10x = -101 + -19
-10x = -101 + -19

Combine like terms: -101 + -19 = -120
-10x = -120

Divide each side by '-10'.
x = 12

Simplifying
x = 12

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