2x-13=13-8x+14

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Solution for 2x-13=13-8x+14 equation:


Simplifying
2x + -13 = 13 + -8x + 14

Reorder the terms:
-13 + 2x = 13 + -8x + 14

Reorder the terms:
-13 + 2x = 13 + 14 + -8x

Combine like terms: 13 + 14 = 27
-13 + 2x = 27 + -8x

Solving
-13 + 2x = 27 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-13 + 2x + 8x = 27 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-13 + 10x = 27 + -8x + 8x

Combine like terms: -8x + 8x = 0
-13 + 10x = 27 + 0
-13 + 10x = 27

Add '13' to each side of the equation.
-13 + 13 + 10x = 27 + 13

Combine like terms: -13 + 13 = 0
0 + 10x = 27 + 13
10x = 27 + 13

Combine like terms: 27 + 13 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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