4x+1=14x-51

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Solution for 4x+1=14x-51 equation:


Simplifying
4x + 1 = 14x + -51

Reorder the terms:
1 + 4x = 14x + -51

Reorder the terms:
1 + 4x = -51 + 14x

Solving
1 + 4x = -51 + 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.
1 + 4x + -14x = -51 + 14x + -14x

Combine like terms: 4x + -14x = -10x
1 + -10x = -51 + 14x + -14x

Combine like terms: 14x + -14x = 0
1 + -10x = -51 + 0
1 + -10x = -51

Add '-1' to each side of the equation.
1 + -1 + -10x = -51 + -1

Combine like terms: 1 + -1 = 0
0 + -10x = -51 + -1
-10x = -51 + -1

Combine like terms: -51 + -1 = -52
-10x = -52

Divide each side by '-10'.
x = 5.2

Simplifying
x = 5.2

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