13x-6=5x+14

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Solution for 13x-6=5x+14 equation:


Simplifying
13x + -6 = 5x + 14

Reorder the terms:
-6 + 13x = 5x + 14

Reorder the terms:
-6 + 13x = 14 + 5x

Solving
-6 + 13x = 14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 13x + -5x = 14 + 5x + -5x

Combine like terms: 13x + -5x = 8x
-6 + 8x = 14 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 8x = 14 + 0
-6 + 8x = 14

Add '6' to each side of the equation.
-6 + 6 + 8x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 14 + 6
8x = 14 + 6

Combine like terms: 14 + 6 = 20
8x = 20

Divide each side by '8'.
x = 2.5

Simplifying
x = 2.5

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