5x+14=13x-1

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Solution for 5x+14=13x-1 equation:


Simplifying
5x + 14 = 13x + -1

Reorder the terms:
14 + 5x = 13x + -1

Reorder the terms:
14 + 5x = -1 + 13x

Solving
14 + 5x = -1 + 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.
14 + 5x + -13x = -1 + 13x + -13x

Combine like terms: 5x + -13x = -8x
14 + -8x = -1 + 13x + -13x

Combine like terms: 13x + -13x = 0
14 + -8x = -1 + 0
14 + -8x = -1

Add '-14' to each side of the equation.
14 + -14 + -8x = -1 + -14

Combine like terms: 14 + -14 = 0
0 + -8x = -1 + -14
-8x = -1 + -14

Combine like terms: -1 + -14 = -15
-8x = -15

Divide each side by '-8'.
x = 1.875

Simplifying
x = 1.875

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