2x+13=8x-17

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Solution for 2x+13=8x-17 equation:


Simplifying
2x + 13 = 8x + -17

Reorder the terms:
13 + 2x = 8x + -17

Reorder the terms:
13 + 2x = -17 + 8x

Solving
13 + 2x = -17 + 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 = -17 + 8x + -8x

Combine like terms: 2x + -8x = -6x
13 + -6x = -17 + 8x + -8x

Combine like terms: 8x + -8x = 0
13 + -6x = -17 + 0
13 + -6x = -17

Add '-13' to each side of the equation.
13 + -13 + -6x = -17 + -13

Combine like terms: 13 + -13 = 0
0 + -6x = -17 + -13
-6x = -17 + -13

Combine like terms: -17 + -13 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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