5x+1=14x-64

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Solution for 5x+1=14x-64 equation:


Simplifying
5x + 1 = 14x + -64

Reorder the terms:
1 + 5x = 14x + -64

Reorder the terms:
1 + 5x = -64 + 14x

Solving
1 + 5x = -64 + 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 + 5x + -14x = -64 + 14x + -14x

Combine like terms: 5x + -14x = -9x
1 + -9x = -64 + 14x + -14x

Combine like terms: 14x + -14x = 0
1 + -9x = -64 + 0
1 + -9x = -64

Add '-1' to each side of the equation.
1 + -1 + -9x = -64 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = -64 + -1
-9x = -64 + -1

Combine like terms: -64 + -1 = -65
-9x = -65

Divide each side by '-9'.
x = 7.222222222

Simplifying
x = 7.222222222

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