13x+8=20x-17

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Solution for 13x+8=20x-17 equation:


Simplifying
13x + 8 = 20x + -17

Reorder the terms:
8 + 13x = 20x + -17

Reorder the terms:
8 + 13x = -17 + 20x

Solving
8 + 13x = -17 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
8 + 13x + -20x = -17 + 20x + -20x

Combine like terms: 13x + -20x = -7x
8 + -7x = -17 + 20x + -20x

Combine like terms: 20x + -20x = 0
8 + -7x = -17 + 0
8 + -7x = -17

Add '-8' to each side of the equation.
8 + -8 + -7x = -17 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = -17 + -8
-7x = -17 + -8

Combine like terms: -17 + -8 = -25
-7x = -25

Divide each side by '-7'.
x = 3.571428571

Simplifying
x = 3.571428571

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